What is the Least Common Multiple of 94104 and 94122?

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 94104 and 94122 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 94104 and 94122, than apply into the LCM equation.

GCF(94104,94122) = 18
LCM(94104,94122) = ( 94104 × 94122) / 18
LCM(94104,94122) = 8857256688 / 18
LCM(94104,94122) = 492069816

Least Common Multiple (LCM) of 94104 and 94122 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 94104 and 94122. First we will calculate the prime factors of 94104 and 94122.

Prime Factorization of 94104

Prime Factorization of 94122

Now multiplying the highest exponent prime factors to calculate the LCM of 94104 and 94122.

LCM(94104,94122) = 2³ × 3⁴ × 1307¹ × 7¹ × 83¹
LCM(94104,94122) = 492069816