What is the Least Common Multiple of 17065 and 17080?

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 17065 and 17080 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 17065 and 17080, than apply into the LCM equation.

GCF(17065,17080) = 5
LCM(17065,17080) = ( 17065 × 17080) / 5
LCM(17065,17080) = 291470200 / 5
LCM(17065,17080) = 58294040

Least Common Multiple (LCM) of 17065 and 17080 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 17065 and 17080. First we will calculate the prime factors of 17065 and 17080.

Prime Factorization of 17065

Prime Factorization of 17080

Now multiplying the highest exponent prime factors to calculate the LCM of 17065 and 17080.

LCM(17065,17080) = 5¹ × 3413¹ × 2³ × 7¹ × 61¹
LCM(17065,17080) = 58294040