What is the Least Common Multiple of 52564 and 52569?

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 52569 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 52569, than apply into the LCM equation.

GCF(52564,52569) = 1
LCM(52564,52569) = ( 52564 × 52569) / 1
LCM(52564,52569) = 2763236916 / 1
LCM(52564,52569) = 2763236916

Least Common Multiple (LCM) of 52564 and 52569 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 52564 and 52569. First we will calculate the prime factors of 52564 and 52569.

Prime Factorization of 52564

Prime Factorization of 52569

Now multiplying the highest exponent prime factors to calculate the LCM of 52564 and 52569.

LCM(52564,52569) = 2² × 17¹ × 773¹ × 3⁴ × 11¹ × 59¹
LCM(52564,52569) = 2763236916