What is the Least Common Multiple of 86745 and 86760?

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 86745 and 86760 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 86745 and 86760, than apply into the LCM equation.

GCF(86745,86760) = 15
LCM(86745,86760) = ( 86745 × 86760) / 15
LCM(86745,86760) = 7525996200 / 15
LCM(86745,86760) = 501733080

Least Common Multiple (LCM) of 86745 and 86760 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 86745 and 86760. First we will calculate the prime factors of 86745 and 86760.

Prime Factorization of 86745

Prime Factorization of 86760

Now multiplying the highest exponent prime factors to calculate the LCM of 86745 and 86760.

LCM(86745,86760) = 3² × 5¹ × 5783¹ × 2³ × 241¹
LCM(86745,86760) = 501733080