What is the Least Common Multiple of 94836 and 94851?

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 94836 and 94851 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 94836 and 94851, than apply into the LCM equation.

GCF(94836,94851) = 3
LCM(94836,94851) = ( 94836 × 94851) / 3
LCM(94836,94851) = 8995289436 / 3
LCM(94836,94851) = 2998429812

Least Common Multiple (LCM) of 94836 and 94851 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 94836 and 94851. First we will calculate the prime factors of 94836 and 94851.

Prime Factorization of 94836

Prime Factorization of 94851

Now multiplying the highest exponent prime factors to calculate the LCM of 94836 and 94851.

LCM(94836,94851) = 2² × 3⁴ × 7¹ × 1129¹ × 1171¹
LCM(94836,94851) = 2998429812