GCF and LCM Calculator Logo

What is the Least Common Multiple of 4059 and 4067?

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 4059 and 4067 is 16507953.

LCM(4059,4067) = 16507953

LCM Calculator and
and

Least Common Multiple of 4059 and 4067 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 4059 and 4067, than apply into the LCM equation.

GCF(4059,4067) = 1
LCM(4059,4067) = ( 4059 × 4067) / 1
LCM(4059,4067) = 16507953 / 1
LCM(4059,4067) = 16507953

Least Common Multiple (LCM) of 4059 and 4067 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 4059 and 4067. First we will calculate the prime factors of 4059 and 4067.

Prime Factorization of 4059

Prime factors of 4059 are 3, 11, 41. Prime factorization of 4059 in exponential form is:

4059 = 32 × 111 × 411

Prime Factorization of 4067

Prime factors of 4067 are 7, 83. Prime factorization of 4067 in exponential form is:

4067 = 72 × 831

Now multiplying the highest exponent prime factors to calculate the LCM of 4059 and 4067.

LCM(4059,4067) = 32 × 111 × 411 × 72 × 831
LCM(4059,4067) = 16507953