What is the Least Common Multiple of 67230 and 67238?

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 67230 and 67238 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 67230 and 67238, than apply into the LCM equation.

GCF(67230,67238) = 2
LCM(67230,67238) = ( 67230 × 67238) / 2
LCM(67230,67238) = 4520410740 / 2
LCM(67230,67238) = 2260205370

Least Common Multiple (LCM) of 67230 and 67238 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 67230 and 67238. First we will calculate the prime factors of 67230 and 67238.

Prime Factorization of 67230

Prime Factorization of 67238

Now multiplying the highest exponent prime factors to calculate the LCM of 67230 and 67238.

LCM(67230,67238) = 2¹ × 3⁴ × 5¹ × 83¹ × 33619¹
LCM(67230,67238) = 2260205370