What is the Least Common Multiple of 86080 and 86096?

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 86080 and 86096 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 86080 and 86096, than apply into the LCM equation.

GCF(86080,86096) = 16
LCM(86080,86096) = ( 86080 × 86096) / 16
LCM(86080,86096) = 7411143680 / 16
LCM(86080,86096) = 463196480

Least Common Multiple (LCM) of 86080 and 86096 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 86080 and 86096. First we will calculate the prime factors of 86080 and 86096.

Prime Factorization of 86080

Prime Factorization of 86096

Now multiplying the highest exponent prime factors to calculate the LCM of 86080 and 86096.

LCM(86080,86096) = 2⁶ × 5¹ × 269¹ × 5381¹
LCM(86080,86096) = 463196480