What is the Least Common Multiple of 34845 and 34860?

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 34845 and 34860 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 34845 and 34860, than apply into the LCM equation.

GCF(34845,34860) = 15
LCM(34845,34860) = ( 34845 × 34860) / 15
LCM(34845,34860) = 1214696700 / 15
LCM(34845,34860) = 80979780

Least Common Multiple (LCM) of 34845 and 34860 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 34845 and 34860. First we will calculate the prime factors of 34845 and 34860.

Prime Factorization of 34845

Prime Factorization of 34860

Now multiplying the highest exponent prime factors to calculate the LCM of 34845 and 34860.

LCM(34845,34860) = 3¹ × 5¹ × 23¹ × 101¹ × 2² × 7¹ × 83¹
LCM(34845,34860) = 80979780