What is the Least Common Multiple of 18294 and 18302?

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 18294 and 18302 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 18294 and 18302, than apply into the LCM equation.

GCF(18294,18302) = 2
LCM(18294,18302) = ( 18294 × 18302) / 2
LCM(18294,18302) = 334816788 / 2
LCM(18294,18302) = 167408394

Least Common Multiple (LCM) of 18294 and 18302 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 18294 and 18302. First we will calculate the prime factors of 18294 and 18302.

Prime Factorization of 18294

Prime Factorization of 18302

Now multiplying the highest exponent prime factors to calculate the LCM of 18294 and 18302.

LCM(18294,18302) = 2¹ × 3¹ × 3049¹ × 9151¹
LCM(18294,18302) = 167408394