What is the Least Common Multiple of 76976 and 76982?

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 76976 and 76982 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 76976 and 76982, than apply into the LCM equation.

GCF(76976,76982) = 2
LCM(76976,76982) = ( 76976 × 76982) / 2
LCM(76976,76982) = 5925766432 / 2
LCM(76976,76982) = 2962883216

Least Common Multiple (LCM) of 76976 and 76982 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 76976 and 76982. First we will calculate the prime factors of 76976 and 76982.

Prime Factorization of 76976

Prime Factorization of 76982

Now multiplying the highest exponent prime factors to calculate the LCM of 76976 and 76982.

LCM(76976,76982) = 2⁴ × 17¹ × 283¹ × 61¹ × 631¹
LCM(76976,76982) = 2962883216