What is the Least Common Multiple of 34060 and 34069?

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 34060 and 34069 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 34060 and 34069, than apply into the LCM equation.

GCF(34060,34069) = 1
LCM(34060,34069) = ( 34060 × 34069) / 1
LCM(34060,34069) = 1160390140 / 1
LCM(34060,34069) = 1160390140

Least Common Multiple (LCM) of 34060 and 34069 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 34060 and 34069. First we will calculate the prime factors of 34060 and 34069.

Prime Factorization of 34060

Prime Factorization of 34069

Now multiplying the highest exponent prime factors to calculate the LCM of 34060 and 34069.

LCM(34060,34069) = 2² × 5¹ × 13¹ × 131¹ × 7¹ × 31¹ × 157¹
LCM(34060,34069) = 1160390140