What is the Least Common Multiple of 92896 and 92904?

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 92904 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 92904, than apply into the LCM equation.

GCF(92896,92904) = 8
LCM(92896,92904) = ( 92896 × 92904) / 8
LCM(92896,92904) = 8630409984 / 8
LCM(92896,92904) = 1078801248

Least Common Multiple (LCM) of 92896 and 92904 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 92896 and 92904. First we will calculate the prime factors of 92896 and 92904.

Prime Factorization of 92896

Prime Factorization of 92904

Now multiplying the highest exponent prime factors to calculate the LCM of 92896 and 92904.

LCM(92896,92904) = 2⁵ × 2903¹ × 3¹ × 7² × 79¹
LCM(92896,92904) = 1078801248