GCF and LCM Calculator Logo

What is the Least Common Multiple of 16290 and 16308?

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 (LCM) of 16290 and 16308 is 14758740.

LCM(16290,16308) = 14758740

LCM Calculator and
and

Least Common Multiple of 16290 and 16308 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 16290 and 16308, than apply into the LCM equation.

GCF(16290,16308) = 18
LCM(16290,16308) = ( 16290 × 16308) / 18
LCM(16290,16308) = 265657320 / 18
LCM(16290,16308) = 14758740

Least Common Multiple (LCM) of 16290 and 16308 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 16290 and 16308. First we will calculate the prime factors of 16290 and 16308.

Prime Factorization of 16290

Prime factors of 16290 are 2, 3, 5, 181. Prime factorization of 16290 in exponential form is:

16290 = 21 × 32 × 51 × 1811

Prime Factorization of 16308

Prime factors of 16308 are 2, 3, 151. Prime factorization of 16308 in exponential form is:

16308 = 22 × 33 × 1511

Now multiplying the highest exponent prime factors to calculate the LCM of 16290 and 16308.

LCM(16290,16308) = 22 × 33 × 51 × 1811 × 1511
LCM(16290,16308) = 14758740