What is the Least Common Multiple of 34830 and 34842?

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 34830 and 34842 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 34830 and 34842, than apply into the LCM equation.

GCF(34830,34842) = 6
LCM(34830,34842) = ( 34830 × 34842) / 6
LCM(34830,34842) = 1213546860 / 6
LCM(34830,34842) = 202257810

Least Common Multiple (LCM) of 34830 and 34842 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 34830 and 34842. First we will calculate the prime factors of 34830 and 34842.

Prime Factorization of 34830

Prime Factorization of 34842

Now multiplying the highest exponent prime factors to calculate the LCM of 34830 and 34842.

LCM(34830,34842) = 2¹ × 3⁴ × 5¹ × 43¹ × 5807¹
LCM(34830,34842) = 202257810