GCF and LCM Calculator Logo

What is the Least Common Multiple of 7482 and 7487?

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 7482 and 7487 is 56017734.

LCM(7482,7487) = 56017734

LCM Calculator and
and

Least Common Multiple of 7482 and 7487 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 7482 and 7487, than apply into the LCM equation.

GCF(7482,7487) = 1
LCM(7482,7487) = ( 7482 × 7487) / 1
LCM(7482,7487) = 56017734 / 1
LCM(7482,7487) = 56017734

Least Common Multiple (LCM) of 7482 and 7487 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 7482 and 7487. First we will calculate the prime factors of 7482 and 7487.

Prime Factorization of 7482

Prime factors of 7482 are 2, 3, 29, 43. Prime factorization of 7482 in exponential form is:

7482 = 21 × 31 × 291 × 431

Prime Factorization of 7487

Prime factors of 7487 are 7487. Prime factorization of 7487 in exponential form is:

7487 = 74871

Now multiplying the highest exponent prime factors to calculate the LCM of 7482 and 7487.

LCM(7482,7487) = 21 × 31 × 291 × 431 × 74871
LCM(7482,7487) = 56017734