What is the Least Common Multiple of 92864 and 92870?

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 92870 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 92870, than apply into the LCM equation.

GCF(92864,92870) = 2
LCM(92864,92870) = ( 92864 × 92870) / 2
LCM(92864,92870) = 8624279680 / 2
LCM(92864,92870) = 4312139840

Least Common Multiple (LCM) of 92864 and 92870 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 92864 and 92870. First we will calculate the prime factors of 92864 and 92870.

Prime Factorization of 92864

Prime Factorization of 92870

Now multiplying the highest exponent prime factors to calculate the LCM of 92864 and 92870.

LCM(92864,92870) = 2⁶ × 1451¹ × 5¹ × 37¹ × 251¹
LCM(92864,92870) = 4312139840