What is the Least Common Multiple of 93135 and 93140?

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 93135 and 93140 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 93135 and 93140, than apply into the LCM equation.

GCF(93135,93140) = 5
LCM(93135,93140) = ( 93135 × 93140) / 5
LCM(93135,93140) = 8674593900 / 5
LCM(93135,93140) = 1734918780

Least Common Multiple (LCM) of 93135 and 93140 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 93135 and 93140. First we will calculate the prime factors of 93135 and 93140.

Prime Factorization of 93135

Prime Factorization of 93140

Now multiplying the highest exponent prime factors to calculate the LCM of 93135 and 93140.

LCM(93135,93140) = 3¹ × 5¹ × 7¹ × 887¹ × 2² × 4657¹
LCM(93135,93140) = 1734918780