What is the Least Common Multiple of 92715 and 92735?

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 92715 and 92735 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 92715 and 92735, than apply into the LCM equation.

GCF(92715,92735) = 5
LCM(92715,92735) = ( 92715 × 92735) / 5
LCM(92715,92735) = 8597925525 / 5
LCM(92715,92735) = 1719585105

Least Common Multiple (LCM) of 92715 and 92735 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 92715 and 92735. First we will calculate the prime factors of 92715 and 92735.

Prime Factorization of 92715

Prime Factorization of 92735

Now multiplying the highest exponent prime factors to calculate the LCM of 92715 and 92735.

LCM(92715,92735) = 3¹ × 5¹ × 7¹ × 883¹ × 17¹ × 1091¹
LCM(92715,92735) = 1719585105