What is the Least Common Multiple of 52475 and 52493?

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 52475 and 52493 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 52475 and 52493, than apply into the LCM equation.

GCF(52475,52493) = 1
LCM(52475,52493) = ( 52475 × 52493) / 1
LCM(52475,52493) = 2754570175 / 1
LCM(52475,52493) = 2754570175

Least Common Multiple (LCM) of 52475 and 52493 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 52475 and 52493. First we will calculate the prime factors of 52475 and 52493.

Prime Factorization of 52475

Prime Factorization of 52493

Now multiplying the highest exponent prime factors to calculate the LCM of 52475 and 52493.

LCM(52475,52493) = 5² × 2099¹ × 7¹ × 7499¹
LCM(52475,52493) = 2754570175