What is the Least Common Multiple of 45256 and 45274?

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 45274 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 45274, than apply into the LCM equation.

GCF(45256,45274) = 2
LCM(45256,45274) = ( 45256 × 45274) / 2
LCM(45256,45274) = 2048920144 / 2
LCM(45256,45274) = 1024460072

Least Common Multiple (LCM) of 45256 and 45274 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 45256 and 45274. First we will calculate the prime factors of 45256 and 45274.

Prime Factorization of 45256

Prime Factorization of 45274

Now multiplying the highest exponent prime factors to calculate the LCM of 45256 and 45274.

LCM(45256,45274) = 2³ × 5657¹ × 22637¹
LCM(45256,45274) = 1024460072