What is the Least Common Multiple of 45198 and 45212?

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 45198 and 45212 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 45198 and 45212, than apply into the LCM equation.

GCF(45198,45212) = 2
LCM(45198,45212) = ( 45198 × 45212) / 2
LCM(45198,45212) = 2043491976 / 2
LCM(45198,45212) = 1021745988

Least Common Multiple (LCM) of 45198 and 45212 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 45198 and 45212. First we will calculate the prime factors of 45198 and 45212.

Prime Factorization of 45198

Prime Factorization of 45212

Now multiplying the highest exponent prime factors to calculate the LCM of 45198 and 45212.

LCM(45198,45212) = 2² × 3⁶ × 31¹ × 89¹ × 127¹
LCM(45198,45212) = 1021745988