What is the Least Common Multiple of 88344 and 88362?

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 88344 and 88362 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 88344 and 88362, than apply into the LCM equation.

GCF(88344,88362) = 18
LCM(88344,88362) = ( 88344 × 88362) / 18
LCM(88344,88362) = 7806252528 / 18
LCM(88344,88362) = 433680696

Least Common Multiple (LCM) of 88344 and 88362 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 88344 and 88362. First we will calculate the prime factors of 88344 and 88362.

Prime Factorization of 88344

Prime Factorization of 88362

Now multiplying the highest exponent prime factors to calculate the LCM of 88344 and 88362.

LCM(88344,88362) = 2³ × 3³ × 409¹ × 4909¹
LCM(88344,88362) = 433680696