GCF and LCM Calculator Logo

What is the Least Common Multiple of 94984 and 94990?

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 94984 and 94990 is 4511265080.

LCM(94984,94990) = 4511265080

LCM Calculator and
and

Least Common Multiple of 94984 and 94990 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 94984 and 94990, than apply into the LCM equation.

GCF(94984,94990) = 2
LCM(94984,94990) = ( 94984 × 94990) / 2
LCM(94984,94990) = 9022530160 / 2
LCM(94984,94990) = 4511265080

Least Common Multiple (LCM) of 94984 and 94990 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 94984 and 94990. First we will calculate the prime factors of 94984 and 94990.

Prime Factorization of 94984

Prime factors of 94984 are 2, 31, 383. Prime factorization of 94984 in exponential form is:

94984 = 23 × 311 × 3831

Prime Factorization of 94990

Prime factors of 94990 are 2, 5, 7, 23, 59. Prime factorization of 94990 in exponential form is:

94990 = 21 × 51 × 71 × 231 × 591

Now multiplying the highest exponent prime factors to calculate the LCM of 94984 and 94990.

LCM(94984,94990) = 23 × 311 × 3831 × 51 × 71 × 231 × 591
LCM(94984,94990) = 4511265080