What is the Least Common Multiple of 56250 and 56259?

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 56250 and 56259 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 56250 and 56259, than apply into the LCM equation.

GCF(56250,56259) = 9
LCM(56250,56259) = ( 56250 × 56259) / 9
LCM(56250,56259) = 3164568750 / 9
LCM(56250,56259) = 351618750

Least Common Multiple (LCM) of 56250 and 56259 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 56250 and 56259. First we will calculate the prime factors of 56250 and 56259.

Prime Factorization of 56250

Prime Factorization of 56259

Now multiplying the highest exponent prime factors to calculate the LCM of 56250 and 56259.

LCM(56250,56259) = 2¹ × 3² × 5⁵ × 7¹ × 19¹ × 47¹
LCM(56250,56259) = 351618750