What is the Least Common Multiple of 61392 and 61404?

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 61392 and 61404 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 61392 and 61404, than apply into the LCM equation.

GCF(61392,61404) = 12
LCM(61392,61404) = ( 61392 × 61404) / 12
LCM(61392,61404) = 3769714368 / 12
LCM(61392,61404) = 314142864

Least Common Multiple (LCM) of 61392 and 61404 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 61392 and 61404. First we will calculate the prime factors of 61392 and 61404.

Prime Factorization of 61392

Prime Factorization of 61404

Now multiplying the highest exponent prime factors to calculate the LCM of 61392 and 61404.

LCM(61392,61404) = 2⁴ × 3¹ × 1279¹ × 7¹ × 17¹ × 43¹
LCM(61392,61404) = 314142864