What is the Least Common Multiple of 52460 and 52475?

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 52460 and 52475 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 52460 and 52475, than apply into the LCM equation.

GCF(52460,52475) = 5
LCM(52460,52475) = ( 52460 × 52475) / 5
LCM(52460,52475) = 2752838500 / 5
LCM(52460,52475) = 550567700

Least Common Multiple (LCM) of 52460 and 52475 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 52460 and 52475. First we will calculate the prime factors of 52460 and 52475.

Prime Factorization of 52460

Prime Factorization of 52475

Now multiplying the highest exponent prime factors to calculate the LCM of 52460 and 52475.

LCM(52460,52475) = 2² × 5² × 43¹ × 61¹ × 2099¹
LCM(52460,52475) = 550567700