What is the Least Common Multiple of 93992 and 94004?

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 93992 and 94004 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 93992 and 94004, than apply into the LCM equation.

GCF(93992,94004) = 4
LCM(93992,94004) = ( 93992 × 94004) / 4
LCM(93992,94004) = 8835623968 / 4
LCM(93992,94004) = 2208905992

Least Common Multiple (LCM) of 93992 and 94004 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 93992 and 94004. First we will calculate the prime factors of 93992 and 94004.

Prime Factorization of 93992

Prime Factorization of 94004

Now multiplying the highest exponent prime factors to calculate the LCM of 93992 and 94004.

LCM(93992,94004) = 2³ × 31¹ × 379¹ × 71¹ × 331¹
LCM(93992,94004) = 2208905992