GCF and LCM Calculator Logo

What is the Least Common Multiple of 7982 and 7987?

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 7982 and 7987 is 63752234.

LCM(7982,7987) = 63752234

LCM Calculator and
and

Least Common Multiple of 7982 and 7987 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 7982 and 7987, than apply into the LCM equation.

GCF(7982,7987) = 1
LCM(7982,7987) = ( 7982 × 7987) / 1
LCM(7982,7987) = 63752234 / 1
LCM(7982,7987) = 63752234

Least Common Multiple (LCM) of 7982 and 7987 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 7982 and 7987. First we will calculate the prime factors of 7982 and 7987.

Prime Factorization of 7982

Prime factors of 7982 are 2, 13, 307. Prime factorization of 7982 in exponential form is:

7982 = 21 × 131 × 3071

Prime Factorization of 7987

Prime factors of 7987 are 7, 163. Prime factorization of 7987 in exponential form is:

7987 = 72 × 1631

Now multiplying the highest exponent prime factors to calculate the LCM of 7982 and 7987.

LCM(7982,7987) = 21 × 131 × 3071 × 72 × 1631
LCM(7982,7987) = 63752234