What is the Least Common Multiple of 92844 and 92864?

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 92844 and 92864 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 92844 and 92864, than apply into the LCM equation.

GCF(92844,92864) = 4
LCM(92844,92864) = ( 92844 × 92864) / 4
LCM(92844,92864) = 8621865216 / 4
LCM(92844,92864) = 2155466304

Least Common Multiple (LCM) of 92844 and 92864 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 92844 and 92864. First we will calculate the prime factors of 92844 and 92864.

Prime Factorization of 92844

Prime Factorization of 92864

Now multiplying the highest exponent prime factors to calculate the LCM of 92844 and 92864.

LCM(92844,92864) = 2⁶ × 3² × 2579¹ × 1451¹
LCM(92844,92864) = 2155466304