What is the Least Common Multiple of 34829 and 34840?

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 34829 and 34840 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 34829 and 34840, than apply into the LCM equation.

GCF(34829,34840) = 1
LCM(34829,34840) = ( 34829 × 34840) / 1
LCM(34829,34840) = 1213442360 / 1
LCM(34829,34840) = 1213442360

Least Common Multiple (LCM) of 34829 and 34840 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 34829 and 34840. First we will calculate the prime factors of 34829 and 34840.

Prime Factorization of 34829

Prime Factorization of 34840

Now multiplying the highest exponent prime factors to calculate the LCM of 34829 and 34840.

LCM(34829,34840) = 29¹ × 1201¹ × 2³ × 5¹ × 13¹ × 67¹
LCM(34829,34840) = 1213442360