What is the Least Common Multiple of 47250 and 47259?

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 47259 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 47259, than apply into the LCM equation.

GCF(47250,47259) = 9
LCM(47250,47259) = ( 47250 × 47259) / 9
LCM(47250,47259) = 2232987750 / 9
LCM(47250,47259) = 248109750

Least Common Multiple (LCM) of 47250 and 47259 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 47250 and 47259. First we will calculate the prime factors of 47250 and 47259.

Prime Factorization of 47250

Prime Factorization of 47259

Now multiplying the highest exponent prime factors to calculate the LCM of 47250 and 47259.

LCM(47250,47259) = 2¹ × 3³ × 5³ × 7¹ × 59¹ × 89¹
LCM(47250,47259) = 248109750