What is the Least Common Multiple of 62610 and 62619?

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 62610 and 62619 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 62610 and 62619, than apply into the LCM equation.

GCF(62610,62619) = 3
LCM(62610,62619) = ( 62610 × 62619) / 3
LCM(62610,62619) = 3920575590 / 3
LCM(62610,62619) = 1306858530

Least Common Multiple (LCM) of 62610 and 62619 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 62610 and 62619. First we will calculate the prime factors of 62610 and 62619.

Prime Factorization of 62610

Prime Factorization of 62619

Now multiplying the highest exponent prime factors to calculate the LCM of 62610 and 62619.

LCM(62610,62619) = 2¹ × 3¹ × 5¹ × 2087¹ × 20873¹
LCM(62610,62619) = 1306858530