What is the Least Common Multiple of 91715 and 91720?

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 91715 and 91720 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 91715 and 91720, than apply into the LCM equation.

GCF(91715,91720) = 5
LCM(91715,91720) = ( 91715 × 91720) / 5
LCM(91715,91720) = 8412099800 / 5
LCM(91715,91720) = 1682419960

Least Common Multiple (LCM) of 91715 and 91720 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 91715 and 91720. First we will calculate the prime factors of 91715 and 91720.

Prime Factorization of 91715

Prime Factorization of 91720

Now multiplying the highest exponent prime factors to calculate the LCM of 91715 and 91720.

LCM(91715,91720) = 5¹ × 13¹ × 17¹ × 83¹ × 2³ × 2293¹
LCM(91715,91720) = 1682419960