GCF and LCM Calculator Logo

What is the Least Common Multiple of 94206 and 94214?

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 94206 and 94214 is 4437762042.

LCM(94206,94214) = 4437762042

LCM Calculator and
and

Least Common Multiple of 94206 and 94214 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 94206 and 94214, than apply into the LCM equation.

GCF(94206,94214) = 2
LCM(94206,94214) = ( 94206 × 94214) / 2
LCM(94206,94214) = 8875524084 / 2
LCM(94206,94214) = 4437762042

Least Common Multiple (LCM) of 94206 and 94214 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 94206 and 94214. First we will calculate the prime factors of 94206 and 94214.

Prime Factorization of 94206

Prime factors of 94206 are 2, 3, 7, 2243. Prime factorization of 94206 in exponential form is:

94206 = 21 × 31 × 71 × 22431

Prime Factorization of 94214

Prime factors of 94214 are 2, 17, 163. Prime factorization of 94214 in exponential form is:

94214 = 21 × 172 × 1631

Now multiplying the highest exponent prime factors to calculate the LCM of 94206 and 94214.

LCM(94206,94214) = 21 × 31 × 71 × 22431 × 172 × 1631
LCM(94206,94214) = 4437762042