What is the Least Common Multiple of 45237 and 45252?

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 45237 and 45252 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 45237 and 45252, than apply into the LCM equation.

GCF(45237,45252) = 3
LCM(45237,45252) = ( 45237 × 45252) / 3
LCM(45237,45252) = 2047064724 / 3
LCM(45237,45252) = 682354908

Least Common Multiple (LCM) of 45237 and 45252 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 45237 and 45252. First we will calculate the prime factors of 45237 and 45252.

Prime Factorization of 45237

Prime Factorization of 45252

Now multiplying the highest exponent prime factors to calculate the LCM of 45237 and 45252.

LCM(45237,45252) = 3³ × 17¹ × 887¹ × 2² × 419¹
LCM(45237,45252) = 682354908