What is the Least Common Multiple of 92096 and 92114?

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 92096 and 92114 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 92096 and 92114, than apply into the LCM equation.

GCF(92096,92114) = 2
LCM(92096,92114) = ( 92096 × 92114) / 2
LCM(92096,92114) = 8483330944 / 2
LCM(92096,92114) = 4241665472

Least Common Multiple (LCM) of 92096 and 92114 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 92096 and 92114. First we will calculate the prime factors of 92096 and 92114.

Prime Factorization of 92096

Prime Factorization of 92114

Now multiplying the highest exponent prime factors to calculate the LCM of 92096 and 92114.

LCM(92096,92114) = 2⁶ × 1439¹ × 11¹ × 53¹ × 79¹
LCM(92096,92114) = 4241665472