What is the Least Common Multiple of 16302 and 16307?

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 16302 and 16307 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 16302 and 16307, than apply into the LCM equation.

GCF(16302,16307) = 1
LCM(16302,16307) = ( 16302 × 16307) / 1
LCM(16302,16307) = 265836714 / 1
LCM(16302,16307) = 265836714

Least Common Multiple (LCM) of 16302 and 16307 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 16302 and 16307. First we will calculate the prime factors of 16302 and 16307.

Prime Factorization of 16302

Prime Factorization of 16307

Now multiplying the highest exponent prime factors to calculate the LCM of 16302 and 16307.

LCM(16302,16307) = 2¹ × 3¹ × 11¹ × 13¹ × 19¹ × 23¹ × 709¹
LCM(16302,16307) = 265836714