What is the Least Common Multiple of 92864 and 92872?

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 92864 and 92872 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 92864 and 92872, than apply into the LCM equation.

GCF(92864,92872) = 8
LCM(92864,92872) = ( 92864 × 92872) / 8
LCM(92864,92872) = 8624465408 / 8
LCM(92864,92872) = 1078058176

Least Common Multiple (LCM) of 92864 and 92872 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 92864 and 92872. First we will calculate the prime factors of 92864 and 92872.

Prime Factorization of 92864

Prime Factorization of 92872

Now multiplying the highest exponent prime factors to calculate the LCM of 92864 and 92872.

LCM(92864,92872) = 2⁶ × 1451¹ × 13¹ × 19¹ × 47¹
LCM(92864,92872) = 1078058176