What is the Least Common Multiple of 45506 and 45512?

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 45506 and 45512 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 45506 and 45512, than apply into the LCM equation.

GCF(45506,45512) = 2
LCM(45506,45512) = ( 45506 × 45512) / 2
LCM(45506,45512) = 2071069072 / 2
LCM(45506,45512) = 1035534536

Least Common Multiple (LCM) of 45506 and 45512 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 45506 and 45512. First we will calculate the prime factors of 45506 and 45512.

Prime Factorization of 45506

Prime Factorization of 45512

Now multiplying the highest exponent prime factors to calculate the LCM of 45506 and 45512.

LCM(45506,45512) = 2³ × 61¹ × 373¹ × 5689¹
LCM(45506,45512) = 1035534536