What is the Least Common Multiple of 13635 and 13642?

Least common multiple or lowest common denominator (lcd) can be calculated in two way; with the LCM formula calculation of greatest common factor (GCF), or multiplying the prime factors with the highest exponent factor.

Least Common Multiple of 13635 and 13642 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 13635 and 13642, than apply into the LCM equation.

GCF(13635,13642) = 1
LCM(13635,13642) = ( 13635 × 13642) / 1
LCM(13635,13642) = 186008670 / 1
LCM(13635,13642) = 186008670

Least Common Multiple (LCM) of 13635 and 13642 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 13635 and 13642. First we will calculate the prime factors of 13635 and 13642.

Prime Factorization of 13635

Prime Factorization of 13642

Now multiplying the highest exponent prime factors to calculate the LCM of 13635 and 13642.

LCM(13635,13642) = 3³ × 5¹ × 101¹ × 2¹ × 19¹ × 359¹
LCM(13635,13642) = 186008670