GCF and LCM Calculator Logo

What is the Least Common Multiple of 93996 and 94011?

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 (LCM) of 93996 and 94011 is 2945552652.

LCM(93996,94011) = 2945552652

LCM Calculator and
and

Least Common Multiple of 93996 and 94011 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 93996 and 94011, than apply into the LCM equation.

GCF(93996,94011) = 3
LCM(93996,94011) = ( 93996 × 94011) / 3
LCM(93996,94011) = 8836657956 / 3
LCM(93996,94011) = 2945552652

Least Common Multiple (LCM) of 93996 and 94011 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 93996 and 94011. First we will calculate the prime factors of 93996 and 94011.

Prime Factorization of 93996

Prime factors of 93996 are 2, 3, 7, 373. Prime factorization of 93996 in exponential form is:

93996 = 22 × 32 × 71 × 3731

Prime Factorization of 94011

Prime factors of 94011 are 3, 31337. Prime factorization of 94011 in exponential form is:

94011 = 31 × 313371

Now multiplying the highest exponent prime factors to calculate the LCM of 93996 and 94011.

LCM(93996,94011) = 22 × 32 × 71 × 3731 × 313371
LCM(93996,94011) = 2945552652