What is the Least Common Multiple of 92080 and 92096?

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 92080 and 92096 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 92080 and 92096, than apply into the LCM equation.

GCF(92080,92096) = 16
LCM(92080,92096) = ( 92080 × 92096) / 16
LCM(92080,92096) = 8480199680 / 16
LCM(92080,92096) = 530012480

Least Common Multiple (LCM) of 92080 and 92096 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 92080 and 92096. First we will calculate the prime factors of 92080 and 92096.

Prime Factorization of 92080

Prime Factorization of 92096

Now multiplying the highest exponent prime factors to calculate the LCM of 92080 and 92096.

LCM(92080,92096) = 2⁶ × 5¹ × 1151¹ × 1439¹
LCM(92080,92096) = 530012480