What is the Least Common Multiple of 86075 and 86080?

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 86075 and 86080 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 86075 and 86080, than apply into the LCM equation.

GCF(86075,86080) = 5
LCM(86075,86080) = ( 86075 × 86080) / 5
LCM(86075,86080) = 7409336000 / 5
LCM(86075,86080) = 1481867200

Least Common Multiple (LCM) of 86075 and 86080 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 86075 and 86080. First we will calculate the prime factors of 86075 and 86080.

Prime Factorization of 86075

Prime Factorization of 86080

Now multiplying the highest exponent prime factors to calculate the LCM of 86075 and 86080.

LCM(86075,86080) = 5² × 11¹ × 313¹ × 2⁶ × 269¹
LCM(86075,86080) = 1481867200