What is the Least Common Multiple of 52608 and 52626?

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 52608 and 52626 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 52608 and 52626, than apply into the LCM equation.

GCF(52608,52626) = 6
LCM(52608,52626) = ( 52608 × 52626) / 6
LCM(52608,52626) = 2768548608 / 6
LCM(52608,52626) = 461424768

Least Common Multiple (LCM) of 52608 and 52626 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 52608 and 52626. First we will calculate the prime factors of 52608 and 52626.

Prime Factorization of 52608

Prime Factorization of 52626

Now multiplying the highest exponent prime factors to calculate the LCM of 52608 and 52626.

LCM(52608,52626) = 2⁷ × 3¹ × 137¹ × 7² × 179¹
LCM(52608,52626) = 461424768