What is the Least Common Multiple of 36114 and 36123?

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 36114 and 36123 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 36114 and 36123, than apply into the LCM equation.

GCF(36114,36123) = 3
LCM(36114,36123) = ( 36114 × 36123) / 3
LCM(36114,36123) = 1304546022 / 3
LCM(36114,36123) = 434848674

Least Common Multiple (LCM) of 36114 and 36123 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 36114 and 36123. First we will calculate the prime factors of 36114 and 36123.

Prime Factorization of 36114

Prime Factorization of 36123

Now multiplying the highest exponent prime factors to calculate the LCM of 36114 and 36123.

LCM(36114,36123) = 2¹ × 3¹ × 13¹ × 463¹ × 12041¹
LCM(36114,36123) = 434848674