What is the Least Common Multiple of 76989 and 76998?

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 76989 and 76998 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 76989 and 76998, than apply into the LCM equation.

GCF(76989,76998) = 3
LCM(76989,76998) = ( 76989 × 76998) / 3
LCM(76989,76998) = 5927999022 / 3
LCM(76989,76998) = 1975999674

Least Common Multiple (LCM) of 76989 and 76998 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 76989 and 76998. First we will calculate the prime factors of 76989 and 76998.

Prime Factorization of 76989

Prime Factorization of 76998

Now multiplying the highest exponent prime factors to calculate the LCM of 76989 and 76998.

LCM(76989,76998) = 3¹ × 11¹ × 2333¹ × 2¹ × 41¹ × 313¹
LCM(76989,76998) = 1975999674