What is the Least Common Multiple of 64925 and 64936?

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 64925 and 64936 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 64925 and 64936, than apply into the LCM equation.

GCF(64925,64936) = 1
LCM(64925,64936) = ( 64925 × 64936) / 1
LCM(64925,64936) = 4215969800 / 1
LCM(64925,64936) = 4215969800

Least Common Multiple (LCM) of 64925 and 64936 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 64925 and 64936. First we will calculate the prime factors of 64925 and 64936.

Prime Factorization of 64925

Prime Factorization of 64936

Now multiplying the highest exponent prime factors to calculate the LCM of 64925 and 64936.

LCM(64925,64936) = 5² × 7² × 53¹ × 2³ × 8117¹
LCM(64925,64936) = 4215969800