What is the Least Common Multiple of 45468 and 45487?

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 45468 and 45487 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 45468 and 45487, than apply into the LCM equation.

GCF(45468,45487) = 1
LCM(45468,45487) = ( 45468 × 45487) / 1
LCM(45468,45487) = 2068202916 / 1
LCM(45468,45487) = 2068202916

Least Common Multiple (LCM) of 45468 and 45487 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 45468 and 45487. First we will calculate the prime factors of 45468 and 45487.

Prime Factorization of 45468

Prime Factorization of 45487

Now multiplying the highest exponent prime factors to calculate the LCM of 45468 and 45487.

LCM(45468,45487) = 2² × 3³ × 421¹ × 13¹ × 3499¹
LCM(45468,45487) = 2068202916