What is the Least Common Multiple of 24636 and 24652?

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 24636 and 24652 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 24636 and 24652, than apply into the LCM equation.

GCF(24636,24652) = 4
LCM(24636,24652) = ( 24636 × 24652) / 4
LCM(24636,24652) = 607326672 / 4
LCM(24636,24652) = 151831668

Least Common Multiple (LCM) of 24636 and 24652 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 24636 and 24652. First we will calculate the prime factors of 24636 and 24652.

Prime Factorization of 24636

Prime Factorization of 24652

Now multiplying the highest exponent prime factors to calculate the LCM of 24636 and 24652.

LCM(24636,24652) = 2² × 3¹ × 2053¹ × 6163¹
LCM(24636,24652) = 151831668