What is the Least Common Multiple of 93123 and 93135?

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 93123 and 93135 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 93123 and 93135, than apply into the LCM equation.

GCF(93123,93135) = 3
LCM(93123,93135) = ( 93123 × 93135) / 3
LCM(93123,93135) = 8673010605 / 3
LCM(93123,93135) = 2891003535

Least Common Multiple (LCM) of 93123 and 93135 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 93123 and 93135. First we will calculate the prime factors of 93123 and 93135.

Prime Factorization of 93123

Prime Factorization of 93135

Now multiplying the highest exponent prime factors to calculate the LCM of 93123 and 93135.

LCM(93123,93135) = 3³ × 3449¹ × 5¹ × 7¹ × 887¹
LCM(93123,93135) = 2891003535