GCF and LCM Calculator Logo

What is the Least Common Multiple of 94933 and 94944?

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 94933 and 94944 is 9013318752.

LCM(94933,94944) = 9013318752

LCM Calculator and
and

Least Common Multiple of 94933 and 94944 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 94933 and 94944, than apply into the LCM equation.

GCF(94933,94944) = 1
LCM(94933,94944) = ( 94933 × 94944) / 1
LCM(94933,94944) = 9013318752 / 1
LCM(94933,94944) = 9013318752

Least Common Multiple (LCM) of 94933 and 94944 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 94933 and 94944. First we will calculate the prime factors of 94933 and 94944.

Prime Factorization of 94933

Prime factors of 94933 are 94933. Prime factorization of 94933 in exponential form is:

94933 = 949331

Prime Factorization of 94944

Prime factors of 94944 are 2, 3, 23, 43. Prime factorization of 94944 in exponential form is:

94944 = 25 × 31 × 231 × 431

Now multiplying the highest exponent prime factors to calculate the LCM of 94933 and 94944.

LCM(94933,94944) = 949331 × 25 × 31 × 231 × 431
LCM(94933,94944) = 9013318752