What is the Least Common Multiple of 88392 and 88410?

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 88392 and 88410 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 88392 and 88410, than apply into the LCM equation.

GCF(88392,88410) = 6
LCM(88392,88410) = ( 88392 × 88410) / 6
LCM(88392,88410) = 7814736720 / 6
LCM(88392,88410) = 1302456120

Least Common Multiple (LCM) of 88392 and 88410 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 88392 and 88410. First we will calculate the prime factors of 88392 and 88410.

Prime Factorization of 88392

Prime Factorization of 88410

Now multiplying the highest exponent prime factors to calculate the LCM of 88392 and 88410.

LCM(88392,88410) = 2³ × 3¹ × 29¹ × 127¹ × 5¹ × 7¹ × 421¹
LCM(88392,88410) = 1302456120