What is the Least Common Multiple of 47250 and 47256?

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 47250 and 47256 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 47250 and 47256, than apply into the LCM equation.

GCF(47250,47256) = 6
LCM(47250,47256) = ( 47250 × 47256) / 6
LCM(47250,47256) = 2232846000 / 6
LCM(47250,47256) = 372141000

Least Common Multiple (LCM) of 47250 and 47256 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 47250 and 47256. First we will calculate the prime factors of 47250 and 47256.

Prime Factorization of 47250

Prime Factorization of 47256

Now multiplying the highest exponent prime factors to calculate the LCM of 47250 and 47256.

LCM(47250,47256) = 2³ × 3³ × 5³ × 7¹ × 11¹ × 179¹
LCM(47250,47256) = 372141000