What is the Least Common Multiple of 67302 and 67316?

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 67316 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 67316, than apply into the LCM equation.

GCF(67302,67316) = 2
LCM(67302,67316) = ( 67302 × 67316) / 2
LCM(67302,67316) = 4530501432 / 2
LCM(67302,67316) = 2265250716

Least Common Multiple (LCM) of 67302 and 67316 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 67302 and 67316. First we will calculate the prime factors of 67302 and 67316.

Prime Factorization of 67302

Prime Factorization of 67316

Now multiplying the highest exponent prime factors to calculate the LCM of 67302 and 67316.

LCM(67302,67316) = 2² × 3² × 3739¹ × 16829¹
LCM(67302,67316) = 2265250716