What is the Least Common Multiple of 34190 and 34210?

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 34190 and 34210 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 34190 and 34210, than apply into the LCM equation.

GCF(34190,34210) = 10
LCM(34190,34210) = ( 34190 × 34210) / 10
LCM(34190,34210) = 1169639900 / 10
LCM(34190,34210) = 116963990

Least Common Multiple (LCM) of 34190 and 34210 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 34190 and 34210. First we will calculate the prime factors of 34190 and 34210.

Prime Factorization of 34190

Prime Factorization of 34210

Now multiplying the highest exponent prime factors to calculate the LCM of 34190 and 34210.

LCM(34190,34210) = 2¹ × 5¹ × 13¹ × 263¹ × 11¹ × 311¹
LCM(34190,34210) = 116963990