What is the Least Common Multiple of 16368 and 16382?

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 16368 and 16382 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 16368 and 16382, than apply into the LCM equation.

GCF(16368,16382) = 2
LCM(16368,16382) = ( 16368 × 16382) / 2
LCM(16368,16382) = 268140576 / 2
LCM(16368,16382) = 134070288

Least Common Multiple (LCM) of 16368 and 16382 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 16368 and 16382. First we will calculate the prime factors of 16368 and 16382.

Prime Factorization of 16368

Prime Factorization of 16382

Now multiplying the highest exponent prime factors to calculate the LCM of 16368 and 16382.

LCM(16368,16382) = 2⁴ × 3¹ × 11¹ × 31¹ × 8191¹
LCM(16368,16382) = 134070288