What is the Least Common Multiple of 86080 and 86094?

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 86094 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 86094, than apply into the LCM equation.

GCF(86080,86094) = 2
LCM(86080,86094) = ( 86080 × 86094) / 2
LCM(86080,86094) = 7410971520 / 2
LCM(86080,86094) = 3705485760

Least Common Multiple (LCM) of 86080 and 86094 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 86080 and 86094. First we will calculate the prime factors of 86080 and 86094.

Prime Factorization of 86080

Prime Factorization of 86094

Now multiplying the highest exponent prime factors to calculate the LCM of 86080 and 86094.

LCM(86080,86094) = 2⁶ × 5¹ × 269¹ × 3² × 4783¹
LCM(86080,86094) = 3705485760