What is the Least Common Multiple of 86757 and 86772?

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 86757 and 86772 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 86757 and 86772, than apply into the LCM equation.

GCF(86757,86772) = 3
LCM(86757,86772) = ( 86757 × 86772) / 3
LCM(86757,86772) = 7528078404 / 3
LCM(86757,86772) = 2509359468

Least Common Multiple (LCM) of 86757 and 86772 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 86757 and 86772. First we will calculate the prime factors of 86757 and 86772.

Prime Factorization of 86757

Prime Factorization of 86772

Now multiplying the highest exponent prime factors to calculate the LCM of 86757 and 86772.

LCM(86757,86772) = 3¹ × 11² × 239¹ × 2² × 7¹ × 1033¹
LCM(86757,86772) = 2509359468