GCF and LCM Calculator Logo

What is the Least Common Multiple of 76973 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 (LCM) of 76973 and 76982 is 5925535486.

LCM(76973,76982) = 5925535486

LCM Calculator and
and

Least Common Multiple of 76973 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 76973 and 76982, than apply into the LCM equation.

GCF(76973,76982) = 1
LCM(76973,76982) = ( 76973 × 76982) / 1
LCM(76973,76982) = 5925535486 / 1
LCM(76973,76982) = 5925535486

Least Common Multiple (LCM) of 76973 and 76982 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 76973 and 76982. First we will calculate the prime factors of 76973 and 76982.

Prime Factorization of 76973

Prime factors of 76973 are 13, 31, 191. Prime factorization of 76973 in exponential form is:

76973 = 131 × 311 × 1911

Prime Factorization of 76982

Prime factors of 76982 are 2, 61, 631. Prime factorization of 76982 in exponential form is:

76982 = 21 × 611 × 6311

Now multiplying the highest exponent prime factors to calculate the LCM of 76973 and 76982.

LCM(76973,76982) = 131 × 311 × 1911 × 21 × 611 × 6311
LCM(76973,76982) = 5925535486