GCF and LCM Calculator Logo

What is the Least Common Multiple of 94367 and 94385?

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 94367 and 94385 is 8906829295.

LCM(94367,94385) = 8906829295

LCM Calculator and
and

Least Common Multiple of 94367 and 94385 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 94367 and 94385, than apply into the LCM equation.

GCF(94367,94385) = 1
LCM(94367,94385) = ( 94367 × 94385) / 1
LCM(94367,94385) = 8906829295 / 1
LCM(94367,94385) = 8906829295

Least Common Multiple (LCM) of 94367 and 94385 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 94367 and 94385. First we will calculate the prime factors of 94367 and 94385.

Prime Factorization of 94367

Prime factors of 94367 are 7, 13, 17, 61. Prime factorization of 94367 in exponential form is:

94367 = 71 × 131 × 171 × 611

Prime Factorization of 94385

Prime factors of 94385 are 5, 43, 439. Prime factorization of 94385 in exponential form is:

94385 = 51 × 431 × 4391

Now multiplying the highest exponent prime factors to calculate the LCM of 94367 and 94385.

LCM(94367,94385) = 71 × 131 × 171 × 611 × 51 × 431 × 4391
LCM(94367,94385) = 8906829295