What is the Least Common Multiple of 92888 and 92894?

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 92888 and 92894 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 92888 and 92894, than apply into the LCM equation.

GCF(92888,92894) = 2
LCM(92888,92894) = ( 92888 × 92894) / 2
LCM(92888,92894) = 8628737872 / 2
LCM(92888,92894) = 4314368936

Least Common Multiple (LCM) of 92888 and 92894 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 92888 and 92894. First we will calculate the prime factors of 92888 and 92894.

Prime Factorization of 92888

Prime Factorization of 92894

Now multiplying the highest exponent prime factors to calculate the LCM of 92888 and 92894.

LCM(92888,92894) = 2³ × 17¹ × 683¹ × 46447¹
LCM(92888,92894) = 4314368936