#### LCM

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A
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/*
author: PatOnTheBack

Modified from:
https://github.com/TheAlgorithms/Python/blob/master/maths/findLcm.py

https://en.wikipedia.org/wiki/Least_common_multiple
*/

'use strict'

import { findHCF } from './FindHcf'

// Find the LCM of two numbers.
const findLcm = (num1, num2) => {
// If the input numbers are less than 1 return an error message.
if (num1 < 1 || num2 < 1) {
throw Error('Numbers must be positive.')
}

// If the input numbers are not integers return an error message.
if (num1 !== Math.round(num1) || num2 !== Math.round(num2)) {
throw Error('Numbers must be whole.')
}

// Get the larger number between the two
const maxNum = Math.max(num1, num2)
let lcm = maxNum

while (true) {
if (lcm % num1 === 0 && lcm % num2 === 0) return lcm
lcm += maxNum
}
}

// Typically, but not always, more efficient
const findLcmWithHcf = (num1, num2) => {
// If the input numbers are less than 1 return an error message.
if (num1 < 1 || num2 < 1) {
throw Error('Numbers must be positive.')
}

// If the input numbers are not integers return an error message.
if (num1 !== Math.round(num1) || num2 !== Math.round(num2)) {
throw Error('Numbers must be whole.')
}

return (num1 * num2) / findHCF(num1, num2)
}

export { findLcm, findLcmWithHcf }