GCF and LCM Calculator Logo

What is the Least Common Multiple of 94959 and 94964?

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 94959 and 94964 is 9017686476.

LCM(94959,94964) = 9017686476

LCM Calculator and
and

Least Common Multiple of 94959 and 94964 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 94959 and 94964, than apply into the LCM equation.

GCF(94959,94964) = 1
LCM(94959,94964) = ( 94959 × 94964) / 1
LCM(94959,94964) = 9017686476 / 1
LCM(94959,94964) = 9017686476

Least Common Multiple (LCM) of 94959 and 94964 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 94959 and 94964. First we will calculate the prime factors of 94959 and 94964.

Prime Factorization of 94959

Prime factors of 94959 are 3, 3517. Prime factorization of 94959 in exponential form is:

94959 = 33 × 35171

Prime Factorization of 94964

Prime factors of 94964 are 2, 23741. Prime factorization of 94964 in exponential form is:

94964 = 22 × 237411

Now multiplying the highest exponent prime factors to calculate the LCM of 94959 and 94964.

LCM(94959,94964) = 33 × 35171 × 22 × 237411
LCM(94959,94964) = 9017686476