What is the Least Common Multiple of 45616 and 45631?

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 45616 and 45631 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 45616 and 45631, than apply into the LCM equation.

GCF(45616,45631) = 1
LCM(45616,45631) = ( 45616 × 45631) / 1
LCM(45616,45631) = 2081503696 / 1
LCM(45616,45631) = 2081503696

Least Common Multiple (LCM) of 45616 and 45631 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 45616 and 45631. First we will calculate the prime factors of 45616 and 45631.

Prime Factorization of 45616

Prime Factorization of 45631

Now multiplying the highest exponent prime factors to calculate the LCM of 45616 and 45631.

LCM(45616,45631) = 2⁴ × 2851¹ × 45631¹
LCM(45616,45631) = 2081503696