What is the Least Common Multiple of 45250 and 45256?

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 45250 and 45256 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 45250 and 45256, than apply into the LCM equation.

GCF(45250,45256) = 2
LCM(45250,45256) = ( 45250 × 45256) / 2
LCM(45250,45256) = 2047834000 / 2
LCM(45250,45256) = 1023917000

Least Common Multiple (LCM) of 45250 and 45256 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 45250 and 45256. First we will calculate the prime factors of 45250 and 45256.

Prime Factorization of 45250

Prime Factorization of 45256

Now multiplying the highest exponent prime factors to calculate the LCM of 45250 and 45256.

LCM(45250,45256) = 2³ × 5³ × 181¹ × 5657¹
LCM(45250,45256) = 1023917000