What is the Least Common Multiple of 16320 and 16334?

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 16320 and 16334 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 16320 and 16334, than apply into the LCM equation.

GCF(16320,16334) = 2
LCM(16320,16334) = ( 16320 × 16334) / 2
LCM(16320,16334) = 266570880 / 2
LCM(16320,16334) = 133285440

Least Common Multiple (LCM) of 16320 and 16334 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 16320 and 16334. First we will calculate the prime factors of 16320 and 16334.

Prime Factorization of 16320

Prime Factorization of 16334

Now multiplying the highest exponent prime factors to calculate the LCM of 16320 and 16334.

LCM(16320,16334) = 2⁶ × 3¹ × 5¹ × 17¹ × 8167¹
LCM(16320,16334) = 133285440