What is the Least Common Multiple of 60919 and 60936?

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 60919 and 60936 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 60919 and 60936, than apply into the LCM equation.

GCF(60919,60936) = 1
LCM(60919,60936) = ( 60919 × 60936) / 1
LCM(60919,60936) = 3712160184 / 1
LCM(60919,60936) = 3712160184

Least Common Multiple (LCM) of 60919 and 60936 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 60919 and 60936. First we will calculate the prime factors of 60919 and 60936.

Prime Factorization of 60919

Prime Factorization of 60936

Now multiplying the highest exponent prime factors to calculate the LCM of 60919 and 60936.

LCM(60919,60936) = 60919¹ × 2³ × 3¹ × 2539¹
LCM(60919,60936) = 3712160184