What is the Least Common Multiple of 76971 and 76989?

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 76971 and 76989 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 76971 and 76989, than apply into the LCM equation.

GCF(76971,76989) = 3
LCM(76971,76989) = ( 76971 × 76989) / 3
LCM(76971,76989) = 5925920319 / 3
LCM(76971,76989) = 1975306773

Least Common Multiple (LCM) of 76971 and 76989 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 76971 and 76989. First we will calculate the prime factors of 76971 and 76989.

Prime Factorization of 76971

Prime Factorization of 76989

Now multiplying the highest exponent prime factors to calculate the LCM of 76971 and 76989.

LCM(76971,76989) = 3¹ × 25657¹ × 11¹ × 2333¹
LCM(76971,76989) = 1975306773