What is the Least Common Multiple of 52564 and 52568?

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 52564 and 52568 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 52564 and 52568, than apply into the LCM equation.

GCF(52564,52568) = 4
LCM(52564,52568) = ( 52564 × 52568) / 4
LCM(52564,52568) = 2763184352 / 4
LCM(52564,52568) = 690796088

Least Common Multiple (LCM) of 52564 and 52568 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 52564 and 52568. First we will calculate the prime factors of 52564 and 52568.

Prime Factorization of 52564

Prime Factorization of 52568

Now multiplying the highest exponent prime factors to calculate the LCM of 52564 and 52568.

LCM(52564,52568) = 2³ × 17¹ × 773¹ × 6571¹
LCM(52564,52568) = 690796088