What is the Least Common Multiple of 67302 and 67317?

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 67302 and 67317 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 67302 and 67317, than apply into the LCM equation.

GCF(67302,67317) = 3
LCM(67302,67317) = ( 67302 × 67317) / 3
LCM(67302,67317) = 4530568734 / 3
LCM(67302,67317) = 1510189578

Least Common Multiple (LCM) of 67302 and 67317 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 67302 and 67317. First we will calculate the prime factors of 67302 and 67317.

Prime Factorization of 67302

Prime Factorization of 67317

Now multiplying the highest exponent prime factors to calculate the LCM of 67302 and 67317.

LCM(67302,67317) = 2¹ × 3² × 3739¹ × 19¹ × 1181¹
LCM(67302,67317) = 1510189578