GCF and LCM Calculator Logo

What is the Least Common Multiple of 16605 and 16609?

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 16605 and 16609 is 275792445.

LCM(16605,16609) = 275792445

LCM Calculator and
and

Least Common Multiple of 16605 and 16609 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 16605 and 16609, than apply into the LCM equation.

GCF(16605,16609) = 1
LCM(16605,16609) = ( 16605 × 16609) / 1
LCM(16605,16609) = 275792445 / 1
LCM(16605,16609) = 275792445

Least Common Multiple (LCM) of 16605 and 16609 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 16605 and 16609. First we will calculate the prime factors of 16605 and 16609.

Prime Factorization of 16605

Prime factors of 16605 are 3, 5, 41. Prime factorization of 16605 in exponential form is:

16605 = 34 × 51 × 411

Prime Factorization of 16609

Prime factors of 16609 are 17, 977. Prime factorization of 16609 in exponential form is:

16609 = 171 × 9771

Now multiplying the highest exponent prime factors to calculate the LCM of 16605 and 16609.

LCM(16605,16609) = 34 × 51 × 411 × 171 × 9771
LCM(16605,16609) = 275792445