What is the Least Common Multiple of 67230 and 67239?

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 67239 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 67239, than apply into the LCM equation.

GCF(67230,67239) = 9
LCM(67230,67239) = ( 67230 × 67239) / 9
LCM(67230,67239) = 4520477970 / 9
LCM(67230,67239) = 502275330

Least Common Multiple (LCM) of 67230 and 67239 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 67230 and 67239. First we will calculate the prime factors of 67230 and 67239.

Prime Factorization of 67230

Prime Factorization of 67239

Now multiplying the highest exponent prime factors to calculate the LCM of 67230 and 67239.

LCM(67230,67239) = 2¹ × 3⁴ × 5¹ × 83¹ × 31¹ × 241¹
LCM(67230,67239) = 502275330