What is the Least Common Multiple of 34065 and 34080?

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 34065 and 34080 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 34065 and 34080, than apply into the LCM equation.

GCF(34065,34080) = 15
LCM(34065,34080) = ( 34065 × 34080) / 15
LCM(34065,34080) = 1160935200 / 15
LCM(34065,34080) = 77395680

Least Common Multiple (LCM) of 34065 and 34080 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 34065 and 34080. First we will calculate the prime factors of 34065 and 34080.

Prime Factorization of 34065

Prime Factorization of 34080

Now multiplying the highest exponent prime factors to calculate the LCM of 34065 and 34080.

LCM(34065,34080) = 3² × 5¹ × 757¹ × 2⁵ × 71¹
LCM(34065,34080) = 77395680