GCF and LCM Calculator Logo

What is the Least Common Multiple of 94880 and 94884?

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 94880 and 94884 is 2250648480.

LCM(94880,94884) = 2250648480

LCM Calculator and
and

Least Common Multiple of 94880 and 94884 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 94880 and 94884, than apply into the LCM equation.

GCF(94880,94884) = 4
LCM(94880,94884) = ( 94880 × 94884) / 4
LCM(94880,94884) = 9002593920 / 4
LCM(94880,94884) = 2250648480

Least Common Multiple (LCM) of 94880 and 94884 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 94880 and 94884. First we will calculate the prime factors of 94880 and 94884.

Prime Factorization of 94880

Prime factors of 94880 are 2, 5, 593. Prime factorization of 94880 in exponential form is:

94880 = 25 × 51 × 5931

Prime Factorization of 94884

Prime factors of 94884 are 2, 3, 7907. Prime factorization of 94884 in exponential form is:

94884 = 22 × 31 × 79071

Now multiplying the highest exponent prime factors to calculate the LCM of 94880 and 94884.

LCM(94880,94884) = 25 × 51 × 5931 × 31 × 79071
LCM(94880,94884) = 2250648480