GCF and LCM Calculator Logo

What is the Least Common Multiple of 16465 and 16476?

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 16465 and 16476 is 271277340.

LCM(16465,16476) = 271277340

LCM Calculator and
and

Least Common Multiple of 16465 and 16476 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 16465 and 16476, than apply into the LCM equation.

GCF(16465,16476) = 1
LCM(16465,16476) = ( 16465 × 16476) / 1
LCM(16465,16476) = 271277340 / 1
LCM(16465,16476) = 271277340

Least Common Multiple (LCM) of 16465 and 16476 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 16465 and 16476. First we will calculate the prime factors of 16465 and 16476.

Prime Factorization of 16465

Prime factors of 16465 are 5, 37, 89. Prime factorization of 16465 in exponential form is:

16465 = 51 × 371 × 891

Prime Factorization of 16476

Prime factors of 16476 are 2, 3, 1373. Prime factorization of 16476 in exponential form is:

16476 = 22 × 31 × 13731

Now multiplying the highest exponent prime factors to calculate the LCM of 16465 and 16476.

LCM(16465,16476) = 51 × 371 × 891 × 22 × 31 × 13731
LCM(16465,16476) = 271277340