What is the Least Common Multiple of 93135 and 93142?

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 93142 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 93142, than apply into the LCM equation.

GCF(93135,93142) = 7
LCM(93135,93142) = ( 93135 × 93142) / 7
LCM(93135,93142) = 8674780170 / 7
LCM(93135,93142) = 1239254310

Least Common Multiple (LCM) of 93135 and 93142 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 93135 and 93142. First we will calculate the prime factors of 93135 and 93142.

Prime Factorization of 93135

Prime Factorization of 93142

Now multiplying the highest exponent prime factors to calculate the LCM of 93135 and 93142.

LCM(93135,93142) = 3¹ × 5¹ × 7¹ × 887¹ × 2¹ × 6653¹
LCM(93135,93142) = 1239254310