What is the Least Common Multiple of 58080 and 58096?

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 58080 and 58096 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 58080 and 58096, than apply into the LCM equation.

GCF(58080,58096) = 16
LCM(58080,58096) = ( 58080 × 58096) / 16
LCM(58080,58096) = 3374215680 / 16
LCM(58080,58096) = 210888480

Least Common Multiple (LCM) of 58080 and 58096 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 58080 and 58096. First we will calculate the prime factors of 58080 and 58096.

Prime Factorization of 58080

Prime Factorization of 58096

Now multiplying the highest exponent prime factors to calculate the LCM of 58080 and 58096.

LCM(58080,58096) = 2⁵ × 3¹ × 5¹ × 11² × 3631¹
LCM(58080,58096) = 210888480