What is the Least Common Multiple of 45210 and 45228?

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 45210 and 45228 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 45210 and 45228, than apply into the LCM equation.

GCF(45210,45228) = 6
LCM(45210,45228) = ( 45210 × 45228) / 6
LCM(45210,45228) = 2044757880 / 6
LCM(45210,45228) = 340792980

Least Common Multiple (LCM) of 45210 and 45228 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 45210 and 45228. First we will calculate the prime factors of 45210 and 45228.

Prime Factorization of 45210

Prime Factorization of 45228

Now multiplying the highest exponent prime factors to calculate the LCM of 45210 and 45228.

LCM(45210,45228) = 2² × 3¹ × 5¹ × 11¹ × 137¹ × 3769¹
LCM(45210,45228) = 340792980