What is the Least Common Multiple of 34065 and 34084?

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 34084 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 34084, than apply into the LCM equation.

GCF(34065,34084) = 1
LCM(34065,34084) = ( 34065 × 34084) / 1
LCM(34065,34084) = 1161071460 / 1
LCM(34065,34084) = 1161071460

Least Common Multiple (LCM) of 34065 and 34084 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 34065 and 34084. First we will calculate the prime factors of 34065 and 34084.

Prime Factorization of 34065

Prime Factorization of 34084

Now multiplying the highest exponent prime factors to calculate the LCM of 34065 and 34084.

LCM(34065,34084) = 3² × 5¹ × 757¹ × 2² × 8521¹
LCM(34065,34084) = 1161071460