GCF and LCM Calculator Logo

What is the Least Common Multiple of 94392 and 94410?

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 94392 and 94410 is 495086040.

LCM(94392,94410) = 495086040

LCM Calculator and
and

Least Common Multiple of 94392 and 94410 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 94392 and 94410, than apply into the LCM equation.

GCF(94392,94410) = 18
LCM(94392,94410) = ( 94392 × 94410) / 18
LCM(94392,94410) = 8911548720 / 18
LCM(94392,94410) = 495086040

Least Common Multiple (LCM) of 94392 and 94410 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 94392 and 94410. First we will calculate the prime factors of 94392 and 94410.

Prime Factorization of 94392

Prime factors of 94392 are 2, 3, 19, 23. Prime factorization of 94392 in exponential form is:

94392 = 23 × 33 × 191 × 231

Prime Factorization of 94410

Prime factors of 94410 are 2, 3, 5, 1049. Prime factorization of 94410 in exponential form is:

94410 = 21 × 32 × 51 × 10491

Now multiplying the highest exponent prime factors to calculate the LCM of 94392 and 94410.

LCM(94392,94410) = 23 × 33 × 191 × 231 × 51 × 10491
LCM(94392,94410) = 495086040