What is the Least Common Multiple of 94892 and 94899?

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 94899 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 94899, than apply into the LCM equation.

GCF(94892,94899) = 7
LCM(94892,94899) = ( 94892 × 94899) / 7
LCM(94892,94899) = 9005155908 / 7
LCM(94892,94899) = 1286450844

Least Common Multiple (LCM) of 94892 and 94899 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 94892 and 94899. First we will calculate the prime factors of 94892 and 94899.

Prime Factorization of 94892

Prime Factorization of 94899

Now multiplying the highest exponent prime factors to calculate the LCM of 94892 and 94899.

LCM(94892,94899) = 2² × 7¹ × 3389¹ × 3¹ × 4519¹
LCM(94892,94899) = 1286450844