What is the Least Common Multiple of 92688 and 92701?

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 92688 and 92701 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 92688 and 92701, than apply into the LCM equation.

GCF(92688,92701) = 1
LCM(92688,92701) = ( 92688 × 92701) / 1
LCM(92688,92701) = 8592270288 / 1
LCM(92688,92701) = 8592270288

Least Common Multiple (LCM) of 92688 and 92701 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 92688 and 92701. First we will calculate the prime factors of 92688 and 92701.

Prime Factorization of 92688

Prime Factorization of 92701

Now multiplying the highest exponent prime factors to calculate the LCM of 92688 and 92701.

LCM(92688,92701) = 2⁴ × 3¹ × 1931¹ × 7¹ × 17¹ × 19¹ × 41¹
LCM(92688,92701) = 8592270288