What is the Least Common Multiple of 23638 and 23652?

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 23638 and 23652 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 23638 and 23652, than apply into the LCM equation.

GCF(23638,23652) = 2
LCM(23638,23652) = ( 23638 × 23652) / 2
LCM(23638,23652) = 559085976 / 2
LCM(23638,23652) = 279542988

Least Common Multiple (LCM) of 23638 and 23652 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 23638 and 23652. First we will calculate the prime factors of 23638 and 23652.

Prime Factorization of 23638

Prime Factorization of 23652

Now multiplying the highest exponent prime factors to calculate the LCM of 23638 and 23652.

LCM(23638,23652) = 2² × 53¹ × 223¹ × 3⁴ × 73¹
LCM(23638,23652) = 279542988