What is the Least Common Multiple of 88376 and 88387?

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 88376 and 88387 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 88376 and 88387, than apply into the LCM equation.

GCF(88376,88387) = 1
LCM(88376,88387) = ( 88376 × 88387) / 1
LCM(88376,88387) = 7811289512 / 1
LCM(88376,88387) = 7811289512

Least Common Multiple (LCM) of 88376 and 88387 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 88376 and 88387. First we will calculate the prime factors of 88376 and 88387.

Prime Factorization of 88376

Prime Factorization of 88387

Now multiplying the highest exponent prime factors to calculate the LCM of 88376 and 88387.

LCM(88376,88387) = 2³ × 11047¹ × 13² × 523¹
LCM(88376,88387) = 7811289512