What is the Least Common Multiple of 16353 and 16362?

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 16353 and 16362 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 16353 and 16362, than apply into the LCM equation.

GCF(16353,16362) = 9
LCM(16353,16362) = ( 16353 × 16362) / 9
LCM(16353,16362) = 267567786 / 9
LCM(16353,16362) = 29729754

Least Common Multiple (LCM) of 16353 and 16362 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 16353 and 16362. First we will calculate the prime factors of 16353 and 16362.

Prime Factorization of 16353

Prime Factorization of 16362

Now multiplying the highest exponent prime factors to calculate the LCM of 16353 and 16362.

LCM(16353,16362) = 3⁴ × 23¹ × 79¹ × 2¹ × 101¹
LCM(16353,16362) = 29729754