What is the Least Common Multiple of 81250 and 81254?

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 81254 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 81254, than apply into the LCM equation.

GCF(81250,81254) = 2
LCM(81250,81254) = ( 81250 × 81254) / 2
LCM(81250,81254) = 6601887500 / 2
LCM(81250,81254) = 3300943750

Least Common Multiple (LCM) of 81250 and 81254 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 81250 and 81254. First we will calculate the prime factors of 81250 and 81254.

Prime Factorization of 81250

Prime Factorization of 81254

Now multiplying the highest exponent prime factors to calculate the LCM of 81250 and 81254.

LCM(81250,81254) = 2¹ × 5⁵ × 13¹ × 40627¹
LCM(81250,81254) = 3300943750