What is the Least Common Multiple of 23624 and 23636?

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 23624 and 23636 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 23624 and 23636, than apply into the LCM equation.

GCF(23624,23636) = 4
LCM(23624,23636) = ( 23624 × 23636) / 4
LCM(23624,23636) = 558376864 / 4
LCM(23624,23636) = 139594216

Least Common Multiple (LCM) of 23624 and 23636 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 23624 and 23636. First we will calculate the prime factors of 23624 and 23636.

Prime Factorization of 23624

Prime Factorization of 23636

Now multiplying the highest exponent prime factors to calculate the LCM of 23624 and 23636.

LCM(23624,23636) = 2³ × 2953¹ × 19¹ × 311¹
LCM(23624,23636) = 139594216