What is the Least Common Multiple of 92943 and 92961?

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 92943 and 92961 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 92943 and 92961, than apply into the LCM equation.

GCF(92943,92961) = 9
LCM(92943,92961) = ( 92943 × 92961) / 9
LCM(92943,92961) = 8640074223 / 9
LCM(92943,92961) = 960008247

Least Common Multiple (LCM) of 92943 and 92961 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 92943 and 92961. First we will calculate the prime factors of 92943 and 92961.

Prime Factorization of 92943

Prime Factorization of 92961

Now multiplying the highest exponent prime factors to calculate the LCM of 92943 and 92961.

LCM(92943,92961) = 3³ × 23¹ × 449¹ × 11¹ × 313¹
LCM(92943,92961) = 960008247