What is the Least Common Multiple of 61338 and 61344?

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 61338 and 61344 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 61338 and 61344, than apply into the LCM equation.

GCF(61338,61344) = 6
LCM(61338,61344) = ( 61338 × 61344) / 6
LCM(61338,61344) = 3762718272 / 6
LCM(61338,61344) = 627119712

Least Common Multiple (LCM) of 61338 and 61344 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 61338 and 61344. First we will calculate the prime factors of 61338 and 61344.

Prime Factorization of 61338

Prime Factorization of 61344

Now multiplying the highest exponent prime factors to calculate the LCM of 61338 and 61344.

LCM(61338,61344) = 2⁵ × 3³ × 10223¹ × 71¹
LCM(61338,61344) = 627119712