What is the Least Common Multiple of 34842 and 34854?

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 34854 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 34854, than apply into the LCM equation.

GCF(34842,34854) = 6
LCM(34842,34854) = ( 34842 × 34854) / 6
LCM(34842,34854) = 1214383068 / 6
LCM(34842,34854) = 202397178

Least Common Multiple (LCM) of 34842 and 34854 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 34842 and 34854. First we will calculate the prime factors of 34842 and 34854.

Prime Factorization of 34842

Prime Factorization of 34854

Now multiplying the highest exponent prime factors to calculate the LCM of 34842 and 34854.

LCM(34842,34854) = 2¹ × 3¹ × 5807¹ × 37¹ × 157¹
LCM(34842,34854) = 202397178