What is the Least Common Multiple of 34819 and 34837?

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 34819 and 34837 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 34819 and 34837, than apply into the LCM equation.

GCF(34819,34837) = 1
LCM(34819,34837) = ( 34819 × 34837) / 1
LCM(34819,34837) = 1212989503 / 1
LCM(34819,34837) = 1212989503

Least Common Multiple (LCM) of 34819 and 34837 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 34819 and 34837. First we will calculate the prime factors of 34819 and 34837.

Prime Factorization of 34819

Prime Factorization of 34837

Now multiplying the highest exponent prime factors to calculate the LCM of 34819 and 34837.

LCM(34819,34837) = 34819¹ × 11¹ × 3167¹
LCM(34819,34837) = 1212989503