What is the Least Common Multiple of 45717 and 45736?

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 45717 and 45736 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 45717 and 45736, than apply into the LCM equation.

GCF(45717,45736) = 1
LCM(45717,45736) = ( 45717 × 45736) / 1
LCM(45717,45736) = 2090912712 / 1
LCM(45717,45736) = 2090912712

Least Common Multiple (LCM) of 45717 and 45736 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 45717 and 45736. First we will calculate the prime factors of 45717 and 45736.

Prime Factorization of 45717

Prime Factorization of 45736

Now multiplying the highest exponent prime factors to calculate the LCM of 45717 and 45736.

LCM(45717,45736) = 3¹ × 7² × 311¹ × 2³ × 5717¹
LCM(45717,45736) = 2090912712