What is the Least Common Multiple of 61392 and 61412?

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 61412 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 61412, than apply into the LCM equation.

GCF(61392,61412) = 4
LCM(61392,61412) = ( 61392 × 61412) / 4
LCM(61392,61412) = 3770205504 / 4
LCM(61392,61412) = 942551376

Least Common Multiple (LCM) of 61392 and 61412 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 61392 and 61412. First we will calculate the prime factors of 61392 and 61412.

Prime Factorization of 61392

Prime Factorization of 61412

Now multiplying the highest exponent prime factors to calculate the LCM of 61392 and 61412.

LCM(61392,61412) = 2⁴ × 3¹ × 1279¹ × 13¹ × 1181¹
LCM(61392,61412) = 942551376