What is the Least Common Multiple of 94122 and 94139?

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 94122 and 94139 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 94122 and 94139, than apply into the LCM equation.

GCF(94122,94139) = 1
LCM(94122,94139) = ( 94122 × 94139) / 1
LCM(94122,94139) = 8860550958 / 1
LCM(94122,94139) = 8860550958

Least Common Multiple (LCM) of 94122 and 94139 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 94122 and 94139. First we will calculate the prime factors of 94122 and 94139.

Prime Factorization of 94122

Prime Factorization of 94139

Now multiplying the highest exponent prime factors to calculate the LCM of 94122 and 94139.

LCM(94122,94139) = 2¹ × 3⁴ × 7¹ × 83¹ × 23¹ × 4093¹
LCM(94122,94139) = 8860550958