What is the Least Common Multiple of 78666 and 78675?

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 78666 and 78675 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 78666 and 78675, than apply into the LCM equation.

GCF(78666,78675) = 3
LCM(78666,78675) = ( 78666 × 78675) / 3
LCM(78666,78675) = 6189047550 / 3
LCM(78666,78675) = 2063015850

Least Common Multiple (LCM) of 78666 and 78675 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 78666 and 78675. First we will calculate the prime factors of 78666 and 78675.

Prime Factorization of 78666

Prime Factorization of 78675

Now multiplying the highest exponent prime factors to calculate the LCM of 78666 and 78675.

LCM(78666,78675) = 2¹ × 3¹ × 7¹ × 1873¹ × 5² × 1049¹
LCM(78666,78675) = 2063015850