What is the Least Common Multiple of 93135 and 93149?

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 93149 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 93149, than apply into the LCM equation.

GCF(93135,93149) = 7
LCM(93135,93149) = ( 93135 × 93149) / 7
LCM(93135,93149) = 8675432115 / 7
LCM(93135,93149) = 1239347445

Least Common Multiple (LCM) of 93135 and 93149 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 93135 and 93149. First we will calculate the prime factors of 93135 and 93149.

Prime Factorization of 93135

Prime Factorization of 93149

Now multiplying the highest exponent prime factors to calculate the LCM of 93135 and 93149.

LCM(93135,93149) = 3¹ × 5¹ × 7² × 887¹ × 1901¹
LCM(93135,93149) = 1239347445