What is the Least Common Multiple of 45684 and 45688?

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 45684 and 45688 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 45684 and 45688, than apply into the LCM equation.

GCF(45684,45688) = 4
LCM(45684,45688) = ( 45684 × 45688) / 4
LCM(45684,45688) = 2087210592 / 4
LCM(45684,45688) = 521802648

Least Common Multiple (LCM) of 45684 and 45688 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 45684 and 45688. First we will calculate the prime factors of 45684 and 45688.

Prime Factorization of 45684

Prime Factorization of 45688

Now multiplying the highest exponent prime factors to calculate the LCM of 45684 and 45688.

LCM(45684,45688) = 2³ × 3⁵ × 47¹ × 5711¹
LCM(45684,45688) = 521802648