GCF and LCM Calculator Logo

What is the Least Common Multiple of 7494 and 7498?

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 7494 and 7498 is 28095006.

LCM(7494,7498) = 28095006

LCM Calculator and
and

Least Common Multiple of 7494 and 7498 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 7494 and 7498, than apply into the LCM equation.

GCF(7494,7498) = 2
LCM(7494,7498) = ( 7494 × 7498) / 2
LCM(7494,7498) = 56190012 / 2
LCM(7494,7498) = 28095006

Least Common Multiple (LCM) of 7494 and 7498 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 7494 and 7498. First we will calculate the prime factors of 7494 and 7498.

Prime Factorization of 7494

Prime factors of 7494 are 2, 3, 1249. Prime factorization of 7494 in exponential form is:

7494 = 21 × 31 × 12491

Prime Factorization of 7498

Prime factors of 7498 are 2, 23, 163. Prime factorization of 7498 in exponential form is:

7498 = 21 × 231 × 1631

Now multiplying the highest exponent prime factors to calculate the LCM of 7494 and 7498.

LCM(7494,7498) = 21 × 31 × 12491 × 231 × 1631
LCM(7494,7498) = 28095006