What is the Least Common Multiple of 52552 and 52564?

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 52552 and 52564 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 52552 and 52564, than apply into the LCM equation.

GCF(52552,52564) = 4
LCM(52552,52564) = ( 52552 × 52564) / 4
LCM(52552,52564) = 2762343328 / 4
LCM(52552,52564) = 690585832

Least Common Multiple (LCM) of 52552 and 52564 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 52552 and 52564. First we will calculate the prime factors of 52552 and 52564.

Prime Factorization of 52552

Prime Factorization of 52564

Now multiplying the highest exponent prime factors to calculate the LCM of 52552 and 52564.

LCM(52552,52564) = 2³ × 6569¹ × 17¹ × 773¹
LCM(52552,52564) = 690585832