What is the Least Common Multiple of 45256 and 45276?

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 45256 and 45276 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 45256 and 45276, than apply into the LCM equation.

GCF(45256,45276) = 4
LCM(45256,45276) = ( 45256 × 45276) / 4
LCM(45256,45276) = 2049010656 / 4
LCM(45256,45276) = 512252664

Least Common Multiple (LCM) of 45256 and 45276 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 45256 and 45276. First we will calculate the prime factors of 45256 and 45276.

Prime Factorization of 45256

Prime Factorization of 45276

Now multiplying the highest exponent prime factors to calculate the LCM of 45256 and 45276.

LCM(45256,45276) = 2³ × 5657¹ × 3¹ × 7³ × 11¹
LCM(45256,45276) = 512252664