GCF and LCM Calculator Logo

What is the Least Common Multiple of 4283 and 4296?

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 4283 and 4296 is 18399768.

LCM(4283,4296) = 18399768

LCM Calculator and
and

Least Common Multiple of 4283 and 4296 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 4283 and 4296, than apply into the LCM equation.

GCF(4283,4296) = 1
LCM(4283,4296) = ( 4283 × 4296) / 1
LCM(4283,4296) = 18399768 / 1
LCM(4283,4296) = 18399768

Least Common Multiple (LCM) of 4283 and 4296 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 4283 and 4296. First we will calculate the prime factors of 4283 and 4296.

Prime Factorization of 4283

Prime factors of 4283 are 4283. Prime factorization of 4283 in exponential form is:

4283 = 42831

Prime Factorization of 4296

Prime factors of 4296 are 2, 3, 179. Prime factorization of 4296 in exponential form is:

4296 = 23 × 31 × 1791

Now multiplying the highest exponent prime factors to calculate the LCM of 4283 and 4296.

LCM(4283,4296) = 42831 × 23 × 31 × 1791
LCM(4283,4296) = 18399768