What is the Least Common Multiple of 61344 and 61350?

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 61344 and 61350 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 61344 and 61350, than apply into the LCM equation.

GCF(61344,61350) = 6
LCM(61344,61350) = ( 61344 × 61350) / 6
LCM(61344,61350) = 3763454400 / 6
LCM(61344,61350) = 627242400

Least Common Multiple (LCM) of 61344 and 61350 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 61344 and 61350. First we will calculate the prime factors of 61344 and 61350.

Prime Factorization of 61344

Prime Factorization of 61350

Now multiplying the highest exponent prime factors to calculate the LCM of 61344 and 61350.

LCM(61344,61350) = 2⁵ × 3³ × 71¹ × 5² × 409¹
LCM(61344,61350) = 627242400