GCF and LCM Calculator Logo

What is the Least Common Multiple of 16345 and 16357?

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 16345 and 16357 is 267355165.

LCM(16345,16357) = 267355165

LCM Calculator and
and

Least Common Multiple of 16345 and 16357 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 16345 and 16357, than apply into the LCM equation.

GCF(16345,16357) = 1
LCM(16345,16357) = ( 16345 × 16357) / 1
LCM(16345,16357) = 267355165 / 1
LCM(16345,16357) = 267355165

Least Common Multiple (LCM) of 16345 and 16357 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 16345 and 16357. First we will calculate the prime factors of 16345 and 16357.

Prime Factorization of 16345

Prime factors of 16345 are 5, 7, 467. Prime factorization of 16345 in exponential form is:

16345 = 51 × 71 × 4671

Prime Factorization of 16357

Prime factors of 16357 are 11, 1487. Prime factorization of 16357 in exponential form is:

16357 = 111 × 14871

Now multiplying the highest exponent prime factors to calculate the LCM of 16345 and 16357.

LCM(16345,16357) = 51 × 71 × 4671 × 111 × 14871
LCM(16345,16357) = 267355165