What is the Least Common Multiple of 81250 and 81260?

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 81250 and 81260 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 81250 and 81260, than apply into the LCM equation.

GCF(81250,81260) = 10
LCM(81250,81260) = ( 81250 × 81260) / 10
LCM(81250,81260) = 6602375000 / 10
LCM(81250,81260) = 660237500

Least Common Multiple (LCM) of 81250 and 81260 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 81250 and 81260. First we will calculate the prime factors of 81250 and 81260.

Prime Factorization of 81250

Prime Factorization of 81260

Now multiplying the highest exponent prime factors to calculate the LCM of 81250 and 81260.

LCM(81250,81260) = 2² × 5⁵ × 13¹ × 17¹ × 239¹
LCM(81250,81260) = 660237500