What is the Least Common Multiple of 45672 and 45687?

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 45687 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 45687, than apply into the LCM equation.

GCF(45672,45687) = 3
LCM(45672,45687) = ( 45672 × 45687) / 3
LCM(45672,45687) = 2086616664 / 3
LCM(45672,45687) = 695538888

Least Common Multiple (LCM) of 45672 and 45687 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 45672 and 45687. First we will calculate the prime factors of 45672 and 45687.

Prime Factorization of 45672

Prime Factorization of 45687

Now multiplying the highest exponent prime factors to calculate the LCM of 45672 and 45687.

LCM(45672,45687) = 2³ × 3¹ × 11¹ × 173¹ × 97¹ × 157¹
LCM(45672,45687) = 695538888