What is the Least Common Multiple of 92896 and 92914?

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 92914 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 92914, than apply into the LCM equation.

GCF(92896,92914) = 2
LCM(92896,92914) = ( 92896 × 92914) / 2
LCM(92896,92914) = 8631338944 / 2
LCM(92896,92914) = 4315669472

Least Common Multiple (LCM) of 92896 and 92914 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 92896 and 92914. First we will calculate the prime factors of 92896 and 92914.

Prime Factorization of 92896

Prime Factorization of 92914

Now multiplying the highest exponent prime factors to calculate the LCM of 92896 and 92914.

LCM(92896,92914) = 2⁵ × 2903¹ × 46457¹
LCM(92896,92914) = 4315669472