What is the Least Common Multiple of 34842 and 34851?

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 34842 and 34851 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 34842 and 34851, than apply into the LCM equation.

GCF(34842,34851) = 3
LCM(34842,34851) = ( 34842 × 34851) / 3
LCM(34842,34851) = 1214278542 / 3
LCM(34842,34851) = 404759514

Least Common Multiple (LCM) of 34842 and 34851 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 34842 and 34851. First we will calculate the prime factors of 34842 and 34851.

Prime Factorization of 34842

Prime Factorization of 34851

Now multiplying the highest exponent prime factors to calculate the LCM of 34842 and 34851.

LCM(34842,34851) = 2¹ × 3¹ × 5807¹ × 11617¹
LCM(34842,34851) = 404759514