What is the Least Common Multiple of 76982 and 76986?

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 of 76982 and 76986 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 76982 and 76986, than apply into the LCM equation.

GCF(76982,76986) = 2
LCM(76982,76986) = ( 76982 × 76986) / 2
LCM(76982,76986) = 5926536252 / 2
LCM(76982,76986) = 2963268126

Least Common Multiple (LCM) of 76982 and 76986 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 76982 and 76986. First we will calculate the prime factors of 76982 and 76986.

Prime Factorization of 76982

Prime Factorization of 76986

Now multiplying the highest exponent prime factors to calculate the LCM of 76982 and 76986.

LCM(76982,76986) = 2¹ × 61¹ × 631¹ × 3² × 7¹ × 13¹ × 47¹
LCM(76982,76986) = 2963268126