What is the Least Common Multiple of 47250 and 47264?

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 47264 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 47264, than apply into the LCM equation.

GCF(47250,47264) = 14
LCM(47250,47264) = ( 47250 × 47264) / 14
LCM(47250,47264) = 2233224000 / 14
LCM(47250,47264) = 159516000

Least Common Multiple (LCM) of 47250 and 47264 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 47250 and 47264. First we will calculate the prime factors of 47250 and 47264.

Prime Factorization of 47250

Prime Factorization of 47264

Now multiplying the highest exponent prime factors to calculate the LCM of 47250 and 47264.

LCM(47250,47264) = 2⁵ × 3³ × 5³ × 7¹ × 211¹
LCM(47250,47264) = 159516000