What is the Least Common Multiple of 45617 and 45628?

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 45617 and 45628 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 45617 and 45628, than apply into the LCM equation.

GCF(45617,45628) = 11
LCM(45617,45628) = ( 45617 × 45628) / 11
LCM(45617,45628) = 2081412476 / 11
LCM(45617,45628) = 189219316

Least Common Multiple (LCM) of 45617 and 45628 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 45617 and 45628. First we will calculate the prime factors of 45617 and 45628.

Prime Factorization of 45617

Prime Factorization of 45628

Now multiplying the highest exponent prime factors to calculate the LCM of 45617 and 45628.

LCM(45617,45628) = 11² × 13¹ × 29¹ × 2² × 17¹ × 61¹
LCM(45617,45628) = 189219316