What is the Least Common Multiple of 45673 and 45684?

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 45673 and 45684 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 45673 and 45684, than apply into the LCM equation.

GCF(45673,45684) = 1
LCM(45673,45684) = ( 45673 × 45684) / 1
LCM(45673,45684) = 2086525332 / 1
LCM(45673,45684) = 2086525332

Least Common Multiple (LCM) of 45673 and 45684 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 45673 and 45684. First we will calculate the prime factors of 45673 and 45684.

Prime Factorization of 45673

Prime Factorization of 45684

Now multiplying the highest exponent prime factors to calculate the LCM of 45673 and 45684.

LCM(45673,45684) = 45673¹ × 2² × 3⁵ × 47¹
LCM(45673,45684) = 2086525332