What is the Least Common Multiple of 92971 and 92989?

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 92971 and 92989 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 92971 and 92989, than apply into the LCM equation.

GCF(92971,92989) = 1
LCM(92971,92989) = ( 92971 × 92989) / 1
LCM(92971,92989) = 8645280319 / 1
LCM(92971,92989) = 8645280319

Least Common Multiple (LCM) of 92971 and 92989 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 92971 and 92989. First we will calculate the prime factors of 92971 and 92989.

Prime Factorization of 92971

Prime Factorization of 92989

Now multiplying the highest exponent prime factors to calculate the LCM of 92971 and 92989.

LCM(92971,92989) = 239¹ × 389¹ × 13¹ × 23¹ × 311¹
LCM(92971,92989) = 8645280319