What is the Least Common Multiple of 45378 and 45396?

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 45378 and 45396 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 45378 and 45396, than apply into the LCM equation.

GCF(45378,45396) = 18
LCM(45378,45396) = ( 45378 × 45396) / 18
LCM(45378,45396) = 2059979688 / 18
LCM(45378,45396) = 114443316

Least Common Multiple (LCM) of 45378 and 45396 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 45378 and 45396. First we will calculate the prime factors of 45378 and 45396.

Prime Factorization of 45378

Prime Factorization of 45396

Now multiplying the highest exponent prime factors to calculate the LCM of 45378 and 45396.

LCM(45378,45396) = 2² × 3² × 2521¹ × 13¹ × 97¹
LCM(45378,45396) = 114443316