GCF and LCM Calculator Logo

What is the Least Common Multiple of 94393 and 94409?

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 94393 and 94409 is 8911548737.

LCM(94393,94409) = 8911548737

LCM Calculator and
and

Least Common Multiple of 94393 and 94409 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 94393 and 94409, than apply into the LCM equation.

GCF(94393,94409) = 1
LCM(94393,94409) = ( 94393 × 94409) / 1
LCM(94393,94409) = 8911548737 / 1
LCM(94393,94409) = 8911548737

Least Common Multiple (LCM) of 94393 and 94409 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 94393 and 94409. First we will calculate the prime factors of 94393 and 94409.

Prime Factorization of 94393

Prime factors of 94393 are 13, 53, 137. Prime factorization of 94393 in exponential form is:

94393 = 131 × 531 × 1371

Prime Factorization of 94409

Prime factors of 94409 are 7, 13487. Prime factorization of 94409 in exponential form is:

94409 = 71 × 134871

Now multiplying the highest exponent prime factors to calculate the LCM of 94393 and 94409.

LCM(94393,94409) = 131 × 531 × 1371 × 71 × 134871
LCM(94393,94409) = 8911548737