What is the Least Common Multiple of 52563 and 52578?

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 52563 and 52578 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 52563 and 52578, than apply into the LCM equation.

GCF(52563,52578) = 3
LCM(52563,52578) = ( 52563 × 52578) / 3
LCM(52563,52578) = 2763657414 / 3
LCM(52563,52578) = 921219138

Least Common Multiple (LCM) of 52563 and 52578 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 52563 and 52578. First we will calculate the prime factors of 52563 and 52578.

Prime Factorization of 52563

Prime Factorization of 52578

Now multiplying the highest exponent prime factors to calculate the LCM of 52563 and 52578.

LCM(52563,52578) = 3² × 7¹ × 2503¹ × 2¹ × 23¹ × 127¹
LCM(52563,52578) = 921219138