What is the Least Common Multiple of 77982 and 77999?

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 77982 and 77999 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 77982 and 77999, than apply into the LCM equation.

GCF(77982,77999) = 1
LCM(77982,77999) = ( 77982 × 77999) / 1
LCM(77982,77999) = 6082518018 / 1
LCM(77982,77999) = 6082518018

Least Common Multiple (LCM) of 77982 and 77999 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 77982 and 77999. First we will calculate the prime factors of 77982 and 77999.

Prime Factorization of 77982

Prime Factorization of 77999

Now multiplying the highest exponent prime factors to calculate the LCM of 77982 and 77999.

LCM(77982,77999) = 2¹ × 3¹ × 41¹ × 317¹ × 77999¹
LCM(77982,77999) = 6082518018