What is the Least Common Multiple of 34210 and 34230?

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 34210 and 34230 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 34210 and 34230, than apply into the LCM equation.

GCF(34210,34230) = 10
LCM(34210,34230) = ( 34210 × 34230) / 10
LCM(34210,34230) = 1171008300 / 10
LCM(34210,34230) = 117100830

Least Common Multiple (LCM) of 34210 and 34230 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 34210 and 34230. First we will calculate the prime factors of 34210 and 34230.

Prime Factorization of 34210

Prime Factorization of 34230

Now multiplying the highest exponent prime factors to calculate the LCM of 34210 and 34230.

LCM(34210,34230) = 2¹ × 5¹ × 11¹ × 311¹ × 3¹ × 7¹ × 163¹
LCM(34210,34230) = 117100830