What is the Least Common Multiple of 88312 and 88331?

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 88312 and 88331 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 88312 and 88331, than apply into the LCM equation.

GCF(88312,88331) = 19
LCM(88312,88331) = ( 88312 × 88331) / 19
LCM(88312,88331) = 7800687272 / 19
LCM(88312,88331) = 410562488

Least Common Multiple (LCM) of 88312 and 88331 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 88312 and 88331. First we will calculate the prime factors of 88312 and 88331.

Prime Factorization of 88312

Prime Factorization of 88331

Now multiplying the highest exponent prime factors to calculate the LCM of 88312 and 88331.

LCM(88312,88331) = 2³ × 7¹ × 19¹ × 83¹ × 4649¹
LCM(88312,88331) = 410562488