What is the Least Common Multiple of 45516 and 45532?

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 45516 and 45532 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 45516 and 45532, than apply into the LCM equation.

GCF(45516,45532) = 4
LCM(45516,45532) = ( 45516 × 45532) / 4
LCM(45516,45532) = 2072434512 / 4
LCM(45516,45532) = 518108628

Least Common Multiple (LCM) of 45516 and 45532 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 45516 and 45532. First we will calculate the prime factors of 45516 and 45532.

Prime Factorization of 45516

Prime Factorization of 45532

Now multiplying the highest exponent prime factors to calculate the LCM of 45516 and 45532.

LCM(45516,45532) = 2² × 3¹ × 3793¹ × 11383¹
LCM(45516,45532) = 518108628