GCF and LCM Calculator Logo

What is the Least Common Multiple of 16763 and 16767?

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 16763 and 16767 is 281065221.

LCM(16763,16767) = 281065221

LCM Calculator and
and

Least Common Multiple of 16763 and 16767 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 16763 and 16767, than apply into the LCM equation.

GCF(16763,16767) = 1
LCM(16763,16767) = ( 16763 × 16767) / 1
LCM(16763,16767) = 281065221 / 1
LCM(16763,16767) = 281065221

Least Common Multiple (LCM) of 16763 and 16767 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 16763 and 16767. First we will calculate the prime factors of 16763 and 16767.

Prime Factorization of 16763

Prime factors of 16763 are 16763. Prime factorization of 16763 in exponential form is:

16763 = 167631

Prime Factorization of 16767

Prime factors of 16767 are 3, 23. Prime factorization of 16767 in exponential form is:

16767 = 36 × 231

Now multiplying the highest exponent prime factors to calculate the LCM of 16763 and 16767.

LCM(16763,16767) = 167631 × 36 × 231
LCM(16763,16767) = 281065221