What is the Least Common Multiple of 45057 and 45063?

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 45057 and 45063 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 45057 and 45063, than apply into the LCM equation.

GCF(45057,45063) = 3
LCM(45057,45063) = ( 45057 × 45063) / 3
LCM(45057,45063) = 2030403591 / 3
LCM(45057,45063) = 676801197

Least Common Multiple (LCM) of 45057 and 45063 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 45057 and 45063. First we will calculate the prime factors of 45057 and 45063.

Prime Factorization of 45057

Prime Factorization of 45063

Now multiplying the highest exponent prime factors to calculate the LCM of 45057 and 45063.

LCM(45057,45063) = 3³ × 23¹ × 653¹ × 1669¹
LCM(45057,45063) = 676801197