What is the Least Common Multiple of 34035 and 34055?

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 34035 and 34055 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 34035 and 34055, than apply into the LCM equation.

GCF(34035,34055) = 5
LCM(34035,34055) = ( 34035 × 34055) / 5
LCM(34035,34055) = 1159061925 / 5
LCM(34035,34055) = 231812385

Least Common Multiple (LCM) of 34035 and 34055 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 34035 and 34055. First we will calculate the prime factors of 34035 and 34055.

Prime Factorization of 34035

Prime Factorization of 34055

Now multiplying the highest exponent prime factors to calculate the LCM of 34035 and 34055.

LCM(34035,34055) = 3¹ × 5¹ × 2269¹ × 7² × 139¹
LCM(34035,34055) = 231812385