What is the Least Common Multiple of 92888 and 92896?

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 92896 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 92896, than apply into the LCM equation.

GCF(92888,92896) = 8
LCM(92888,92896) = ( 92888 × 92896) / 8
LCM(92888,92896) = 8628923648 / 8
LCM(92888,92896) = 1078615456

Least Common Multiple (LCM) of 92888 and 92896 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 92888 and 92896. First we will calculate the prime factors of 92888 and 92896.

Prime Factorization of 92888

Prime Factorization of 92896

Now multiplying the highest exponent prime factors to calculate the LCM of 92888 and 92896.

LCM(92888,92896) = 2⁵ × 17¹ × 683¹ × 2903¹
LCM(92888,92896) = 1078615456