What is the Least Common Multiple of 94251 and 94261?

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 94251 and 94261 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 94251 and 94261, than apply into the LCM equation.

GCF(94251,94261) = 1
LCM(94251,94261) = ( 94251 × 94261) / 1
LCM(94251,94261) = 8884193511 / 1
LCM(94251,94261) = 8884193511

Least Common Multiple (LCM) of 94251 and 94261 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 94251 and 94261. First we will calculate the prime factors of 94251 and 94261.

Prime Factorization of 94251

Prime Factorization of 94261

Now multiplying the highest exponent prime factors to calculate the LCM of 94251 and 94261.

LCM(94251,94261) = 3¹ × 89¹ × 353¹ × 94261¹
LCM(94251,94261) = 8884193511