What is the Least Common Multiple of 34404 and 34419?

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 34404 and 34419 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 34404 and 34419, than apply into the LCM equation.

GCF(34404,34419) = 3
LCM(34404,34419) = ( 34404 × 34419) / 3
LCM(34404,34419) = 1184151276 / 3
LCM(34404,34419) = 394717092

Least Common Multiple (LCM) of 34404 and 34419 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 34404 and 34419. First we will calculate the prime factors of 34404 and 34419.

Prime Factorization of 34404

Prime Factorization of 34419

Now multiplying the highest exponent prime factors to calculate the LCM of 34404 and 34419.

LCM(34404,34419) = 2² × 3¹ × 47¹ × 61¹ × 7¹ × 11¹ × 149¹
LCM(34404,34419) = 394717092