GCF and LCM Calculator Logo

What is the Least Common Multiple of 4335 and 4351?

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 4335 and 4351 is 18861585.

LCM(4335,4351) = 18861585

LCM Calculator and
and

Least Common Multiple of 4335 and 4351 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 4335 and 4351, than apply into the LCM equation.

GCF(4335,4351) = 1
LCM(4335,4351) = ( 4335 × 4351) / 1
LCM(4335,4351) = 18861585 / 1
LCM(4335,4351) = 18861585

Least Common Multiple (LCM) of 4335 and 4351 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 4335 and 4351. First we will calculate the prime factors of 4335 and 4351.

Prime Factorization of 4335

Prime factors of 4335 are 3, 5, 17. Prime factorization of 4335 in exponential form is:

4335 = 31 × 51 × 172

Prime Factorization of 4351

Prime factors of 4351 are 19, 229. Prime factorization of 4351 in exponential form is:

4351 = 191 × 2291

Now multiplying the highest exponent prime factors to calculate the LCM of 4335 and 4351.

LCM(4335,4351) = 31 × 51 × 172 × 191 × 2291
LCM(4335,4351) = 18861585