What is the Least Common Multiple of 92680 and 92695?

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 92680 and 92695 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 92680 and 92695, than apply into the LCM equation.

GCF(92680,92695) = 5
LCM(92680,92695) = ( 92680 × 92695) / 5
LCM(92680,92695) = 8590972600 / 5
LCM(92680,92695) = 1718194520

Least Common Multiple (LCM) of 92680 and 92695 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 92680 and 92695. First we will calculate the prime factors of 92680 and 92695.

Prime Factorization of 92680

Prime Factorization of 92695

Now multiplying the highest exponent prime factors to calculate the LCM of 92680 and 92695.

LCM(92680,92695) = 2³ × 5¹ × 7¹ × 331¹ × 18539¹
LCM(92680,92695) = 1718194520