What is the Least Common Multiple of 34230 and 34239?

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 34230 and 34239 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 34230 and 34239, than apply into the LCM equation.

GCF(34230,34239) = 3
LCM(34230,34239) = ( 34230 × 34239) / 3
LCM(34230,34239) = 1172000970 / 3
LCM(34230,34239) = 390666990

Least Common Multiple (LCM) of 34230 and 34239 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 34230 and 34239. First we will calculate the prime factors of 34230 and 34239.

Prime Factorization of 34230

Prime Factorization of 34239

Now multiplying the highest exponent prime factors to calculate the LCM of 34230 and 34239.

LCM(34230,34239) = 2¹ × 3¹ × 5¹ × 7¹ × 163¹ × 101¹ × 113¹
LCM(34230,34239) = 390666990