What is the Least Common Multiple of 45672 and 45677?

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 45672 and 45677 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 45672 and 45677, than apply into the LCM equation.

GCF(45672,45677) = 1
LCM(45672,45677) = ( 45672 × 45677) / 1
LCM(45672,45677) = 2086159944 / 1
LCM(45672,45677) = 2086159944

Least Common Multiple (LCM) of 45672 and 45677 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 45672 and 45677. First we will calculate the prime factors of 45672 and 45677.

Prime Factorization of 45672

Prime Factorization of 45677

Now multiplying the highest exponent prime factors to calculate the LCM of 45672 and 45677.

LCM(45672,45677) = 2³ × 3¹ × 11¹ × 173¹ × 45677¹
LCM(45672,45677) = 2086159944