What is the Least Common Multiple of 92976 and 92993?

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 92976 and 92993 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 92976 and 92993, than apply into the LCM equation.

GCF(92976,92993) = 1
LCM(92976,92993) = ( 92976 × 92993) / 1
LCM(92976,92993) = 8646117168 / 1
LCM(92976,92993) = 8646117168

Least Common Multiple (LCM) of 92976 and 92993 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 92976 and 92993. First we will calculate the prime factors of 92976 and 92993.

Prime Factorization of 92976

Prime Factorization of 92993

Now multiplying the highest exponent prime factors to calculate the LCM of 92976 and 92993.

LCM(92976,92993) = 2⁴ × 3¹ × 13¹ × 149¹ × 92993¹
LCM(92976,92993) = 8646117168