What is the Least Common Multiple of 11624 and 11636?

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 11624 and 11636 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 11624 and 11636, than apply into the LCM equation.

GCF(11624,11636) = 4
LCM(11624,11636) = ( 11624 × 11636) / 4
LCM(11624,11636) = 135256864 / 4
LCM(11624,11636) = 33814216

Least Common Multiple (LCM) of 11624 and 11636 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 11624 and 11636. First we will calculate the prime factors of 11624 and 11636.

Prime Factorization of 11624

Prime Factorization of 11636

Now multiplying the highest exponent prime factors to calculate the LCM of 11624 and 11636.

LCM(11624,11636) = 2³ × 1453¹ × 2909¹
LCM(11624,11636) = 33814216