What is the Least Common Multiple of 62925 and 62940?

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 62925 and 62940 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 62925 and 62940, than apply into the LCM equation.

GCF(62925,62940) = 15
LCM(62925,62940) = ( 62925 × 62940) / 15
LCM(62925,62940) = 3960499500 / 15
LCM(62925,62940) = 264033300

Least Common Multiple (LCM) of 62925 and 62940 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 62925 and 62940. First we will calculate the prime factors of 62925 and 62940.

Prime Factorization of 62925

Prime Factorization of 62940

Now multiplying the highest exponent prime factors to calculate the LCM of 62925 and 62940.

LCM(62925,62940) = 3¹ × 5² × 839¹ × 2² × 1049¹
LCM(62925,62940) = 264033300