What is the Least Common Multiple of 45213 and 45220?

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 45213 and 45220 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 45213 and 45220, than apply into the LCM equation.

GCF(45213,45220) = 7
LCM(45213,45220) = ( 45213 × 45220) / 7
LCM(45213,45220) = 2044531860 / 7
LCM(45213,45220) = 292075980

Least Common Multiple (LCM) of 45213 and 45220 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 45213 and 45220. First we will calculate the prime factors of 45213 and 45220.

Prime Factorization of 45213

Prime Factorization of 45220

Now multiplying the highest exponent prime factors to calculate the LCM of 45213 and 45220.

LCM(45213,45220) = 3¹ × 7¹ × 2153¹ × 2² × 5¹ × 17¹ × 19¹
LCM(45213,45220) = 292075980