What is the Least Common Multiple of 94775 and 94781?

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 94775 and 94781 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 94775 and 94781, than apply into the LCM equation.

GCF(94775,94781) = 1
LCM(94775,94781) = ( 94775 × 94781) / 1
LCM(94775,94781) = 8982869275 / 1
LCM(94775,94781) = 8982869275

Least Common Multiple (LCM) of 94775 and 94781 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 94775 and 94781. First we will calculate the prime factors of 94775 and 94781.

Prime Factorization of 94775

Prime Factorization of 94781

Now multiplying the highest exponent prime factors to calculate the LCM of 94775 and 94781.

LCM(94775,94781) = 5² × 17¹ × 223¹ × 94781¹
LCM(94775,94781) = 8982869275