What is the Least Common Multiple of 45800 and 45816?

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 45800 and 45816 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 45800 and 45816, than apply into the LCM equation.

GCF(45800,45816) = 8
LCM(45800,45816) = ( 45800 × 45816) / 8
LCM(45800,45816) = 2098372800 / 8
LCM(45800,45816) = 262296600

Least Common Multiple (LCM) of 45800 and 45816 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 45800 and 45816. First we will calculate the prime factors of 45800 and 45816.

Prime Factorization of 45800

Prime Factorization of 45816

Now multiplying the highest exponent prime factors to calculate the LCM of 45800 and 45816.

LCM(45800,45816) = 2³ × 5² × 229¹ × 3¹ × 23¹ × 83¹
LCM(45800,45816) = 262296600