What is the Least Common Multiple of 92896 and 92903?

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 92896 and 92903 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 92896 and 92903, than apply into the LCM equation.

GCF(92896,92903) = 1
LCM(92896,92903) = ( 92896 × 92903) / 1
LCM(92896,92903) = 8630317088 / 1
LCM(92896,92903) = 8630317088

Least Common Multiple (LCM) of 92896 and 92903 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 92896 and 92903. First we will calculate the prime factors of 92896 and 92903.

Prime Factorization of 92896

Prime Factorization of 92903

Now multiplying the highest exponent prime factors to calculate the LCM of 92896 and 92903.

LCM(92896,92903) = 2⁵ × 2903¹ × 61¹ × 1523¹
LCM(92896,92903) = 8630317088