What is the Least Common Multiple of 61350 and 61368?

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 61350 and 61368 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 61350 and 61368, than apply into the LCM equation.

GCF(61350,61368) = 6
LCM(61350,61368) = ( 61350 × 61368) / 6
LCM(61350,61368) = 3764926800 / 6
LCM(61350,61368) = 627487800

Least Common Multiple (LCM) of 61350 and 61368 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 61350 and 61368. First we will calculate the prime factors of 61350 and 61368.

Prime Factorization of 61350

Prime Factorization of 61368

Now multiplying the highest exponent prime factors to calculate the LCM of 61350 and 61368.

LCM(61350,61368) = 2³ × 3¹ × 5² × 409¹ × 2557¹
LCM(61350,61368) = 627487800