What is the Least Common Multiple of 94892 and 94909?

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 94892 and 94909 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 94892 and 94909, than apply into the LCM equation.

GCF(94892,94909) = 1
LCM(94892,94909) = ( 94892 × 94909) / 1
LCM(94892,94909) = 9006104828 / 1
LCM(94892,94909) = 9006104828

Least Common Multiple (LCM) of 94892 and 94909 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 94892 and 94909. First we will calculate the prime factors of 94892 and 94909.

Prime Factorization of 94892

Prime Factorization of 94909

Now multiplying the highest exponent prime factors to calculate the LCM of 94892 and 94909.

LCM(94892,94909) = 2² × 7¹ × 3389¹ × 107¹ × 887¹
LCM(94892,94909) = 9006104828