What is the Least Common Multiple of 65925 and 65937?

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 65925 and 65937 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 65925 and 65937, than apply into the LCM equation.

GCF(65925,65937) = 3
LCM(65925,65937) = ( 65925 × 65937) / 3
LCM(65925,65937) = 4346896725 / 3
LCM(65925,65937) = 1448965575

Least Common Multiple (LCM) of 65925 and 65937 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 65925 and 65937. First we will calculate the prime factors of 65925 and 65937.

Prime Factorization of 65925

Prime Factorization of 65937

Now multiplying the highest exponent prime factors to calculate the LCM of 65925 and 65937.

LCM(65925,65937) = 3² × 5² × 293¹ × 31¹ × 709¹
LCM(65925,65937) = 1448965575