What is the Least Common Multiple of 93675 and 93682?

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 93675 and 93682 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 93675 and 93682, than apply into the LCM equation.

GCF(93675,93682) = 1
LCM(93675,93682) = ( 93675 × 93682) / 1
LCM(93675,93682) = 8775661350 / 1
LCM(93675,93682) = 8775661350

Least Common Multiple (LCM) of 93675 and 93682 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 93675 and 93682. First we will calculate the prime factors of 93675 and 93682.

Prime Factorization of 93675

Prime Factorization of 93682

Now multiplying the highest exponent prime factors to calculate the LCM of 93675 and 93682.

LCM(93675,93682) = 3¹ × 5² × 1249¹ × 2¹ × 31¹ × 1511¹
LCM(93675,93682) = 8775661350