What is the Least Common Multiple of 94836 and 94850?

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 94850 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 94850, than apply into the LCM equation.

GCF(94836,94850) = 14
LCM(94836,94850) = ( 94836 × 94850) / 14
LCM(94836,94850) = 8995194600 / 14
LCM(94836,94850) = 642513900

Least Common Multiple (LCM) of 94836 and 94850 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 94836 and 94850. First we will calculate the prime factors of 94836 and 94850.

Prime Factorization of 94836

Prime Factorization of 94850

Now multiplying the highest exponent prime factors to calculate the LCM of 94836 and 94850.

LCM(94836,94850) = 2² × 3¹ × 7¹ × 1129¹ × 5² × 271¹
LCM(94836,94850) = 642513900