What is the Least Common Multiple of 61092 and 61104?

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 61092 and 61104 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 61092 and 61104, than apply into the LCM equation.

GCF(61092,61104) = 12
LCM(61092,61104) = ( 61092 × 61104) / 12
LCM(61092,61104) = 3732965568 / 12
LCM(61092,61104) = 311080464

Least Common Multiple (LCM) of 61092 and 61104 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 61092 and 61104. First we will calculate the prime factors of 61092 and 61104.

Prime Factorization of 61092

Prime Factorization of 61104

Now multiplying the highest exponent prime factors to calculate the LCM of 61092 and 61104.

LCM(61092,61104) = 2⁴ × 3² × 1697¹ × 19¹ × 67¹
LCM(61092,61104) = 311080464