What is the Least Common Multiple of 95925 and 95936?

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 95925 and 95936 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 95925 and 95936, than apply into the LCM equation.

GCF(95925,95936) = 1
LCM(95925,95936) = ( 95925 × 95936) / 1
LCM(95925,95936) = 9202660800 / 1
LCM(95925,95936) = 9202660800

Least Common Multiple (LCM) of 95925 and 95936 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 95925 and 95936. First we will calculate the prime factors of 95925 and 95936.

Prime Factorization of 95925

Prime Factorization of 95936

Now multiplying the highest exponent prime factors to calculate the LCM of 95925 and 95936.

LCM(95925,95936) = 3¹ × 5² × 1279¹ × 2⁶ × 1499¹
LCM(95925,95936) = 9202660800