GCF and LCM Calculator Logo

What is the Least Common Multiple of 94295 and 94314?

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 94295 and 94314 is 8893338630.

LCM(94295,94314) = 8893338630

LCM Calculator and
and

Least Common Multiple of 94295 and 94314 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 94295 and 94314, than apply into the LCM equation.

GCF(94295,94314) = 1
LCM(94295,94314) = ( 94295 × 94314) / 1
LCM(94295,94314) = 8893338630 / 1
LCM(94295,94314) = 8893338630

Least Common Multiple (LCM) of 94295 and 94314 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 94295 and 94314. First we will calculate the prime factors of 94295 and 94314.

Prime Factorization of 94295

Prime factors of 94295 are 5, 18859. Prime factorization of 94295 in exponential form is:

94295 = 51 × 188591

Prime Factorization of 94314

Prime factors of 94314 are 2, 3, 11, 1429. Prime factorization of 94314 in exponential form is:

94314 = 21 × 31 × 111 × 14291

Now multiplying the highest exponent prime factors to calculate the LCM of 94295 and 94314.

LCM(94295,94314) = 51 × 188591 × 21 × 31 × 111 × 14291
LCM(94295,94314) = 8893338630