What is the Least Common Multiple of 27624 and 27635?

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 27624 and 27635 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 27624 and 27635, than apply into the LCM equation.

GCF(27624,27635) = 1
LCM(27624,27635) = ( 27624 × 27635) / 1
LCM(27624,27635) = 763389240 / 1
LCM(27624,27635) = 763389240

Least Common Multiple (LCM) of 27624 and 27635 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 27624 and 27635. First we will calculate the prime factors of 27624 and 27635.

Prime Factorization of 27624

Prime Factorization of 27635

Now multiplying the highest exponent prime factors to calculate the LCM of 27624 and 27635.

LCM(27624,27635) = 2³ × 3¹ × 1151¹ × 5¹ × 5527¹
LCM(27624,27635) = 763389240