What is the Least Common Multiple of 62910 and 62925?

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 62910 and 62925 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 62910 and 62925, than apply into the LCM equation.

GCF(62910,62925) = 15
LCM(62910,62925) = ( 62910 × 62925) / 15
LCM(62910,62925) = 3958611750 / 15
LCM(62910,62925) = 263907450

Least Common Multiple (LCM) of 62910 and 62925 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 62910 and 62925. First we will calculate the prime factors of 62910 and 62925.

Prime Factorization of 62910

Prime Factorization of 62925

Now multiplying the highest exponent prime factors to calculate the LCM of 62910 and 62925.

LCM(62910,62925) = 2¹ × 3³ × 5² × 233¹ × 839¹
LCM(62910,62925) = 263907450