GCF and LCM Calculator Logo

What is the Least Common Multiple of 94456 and 94475?

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 94456 and 94475 is 8923730600.

LCM(94456,94475) = 8923730600

LCM Calculator and
and

Least Common Multiple of 94456 and 94475 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 94456 and 94475, than apply into the LCM equation.

GCF(94456,94475) = 1
LCM(94456,94475) = ( 94456 × 94475) / 1
LCM(94456,94475) = 8923730600 / 1
LCM(94456,94475) = 8923730600

Least Common Multiple (LCM) of 94456 and 94475 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 94456 and 94475. First we will calculate the prime factors of 94456 and 94475.

Prime Factorization of 94456

Prime factors of 94456 are 2, 11807. Prime factorization of 94456 in exponential form is:

94456 = 23 × 118071

Prime Factorization of 94475

Prime factors of 94475 are 5, 3779. Prime factorization of 94475 in exponential form is:

94475 = 52 × 37791

Now multiplying the highest exponent prime factors to calculate the LCM of 94456 and 94475.

LCM(94456,94475) = 23 × 118071 × 52 × 37791
LCM(94456,94475) = 8923730600