GCF and LCM Calculator Logo

What is the Least Common Multiple of 4302 and 4312?

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 4302 and 4312 is 9275112.

LCM(4302,4312) = 9275112

LCM Calculator and
and

Least Common Multiple of 4302 and 4312 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 4302 and 4312, than apply into the LCM equation.

GCF(4302,4312) = 2
LCM(4302,4312) = ( 4302 × 4312) / 2
LCM(4302,4312) = 18550224 / 2
LCM(4302,4312) = 9275112

Least Common Multiple (LCM) of 4302 and 4312 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 4302 and 4312. First we will calculate the prime factors of 4302 and 4312.

Prime Factorization of 4302

Prime factors of 4302 are 2, 3, 239. Prime factorization of 4302 in exponential form is:

4302 = 21 × 32 × 2391

Prime Factorization of 4312

Prime factors of 4312 are 2, 7, 11. Prime factorization of 4312 in exponential form is:

4312 = 23 × 72 × 111

Now multiplying the highest exponent prime factors to calculate the LCM of 4302 and 4312.

LCM(4302,4312) = 23 × 32 × 2391 × 72 × 111
LCM(4302,4312) = 9275112