What is the Least Common Multiple of 16340 and 16354?

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 16340 and 16354 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 16340 and 16354, than apply into the LCM equation.

GCF(16340,16354) = 2
LCM(16340,16354) = ( 16340 × 16354) / 2
LCM(16340,16354) = 267224360 / 2
LCM(16340,16354) = 133612180

Least Common Multiple (LCM) of 16340 and 16354 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 16340 and 16354. First we will calculate the prime factors of 16340 and 16354.

Prime Factorization of 16340

Prime Factorization of 16354

Now multiplying the highest exponent prime factors to calculate the LCM of 16340 and 16354.

LCM(16340,16354) = 2² × 5¹ × 19¹ × 43¹ × 13¹ × 17¹ × 37¹
LCM(16340,16354) = 133612180