What is the Least Common Multiple of 45156 and 45176?

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 45156 and 45176 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 45156 and 45176, than apply into the LCM equation.

GCF(45156,45176) = 4
LCM(45156,45176) = ( 45156 × 45176) / 4
LCM(45156,45176) = 2039967456 / 4
LCM(45156,45176) = 509991864

Least Common Multiple (LCM) of 45156 and 45176 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 45156 and 45176. First we will calculate the prime factors of 45156 and 45176.

Prime Factorization of 45156

Prime Factorization of 45176

Now multiplying the highest exponent prime factors to calculate the LCM of 45156 and 45176.

LCM(45156,45176) = 2³ × 3¹ × 53¹ × 71¹ × 5647¹
LCM(45156,45176) = 509991864