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What is the Least Common Multiple of 4302 and 4310?

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 4310 is 9270810.

LCM(4302,4310) = 9270810

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Least Common Multiple of 4302 and 4310 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 4310, than apply into the LCM equation.

GCF(4302,4310) = 2
LCM(4302,4310) = ( 4302 × 4310) / 2
LCM(4302,4310) = 18541620 / 2
LCM(4302,4310) = 9270810

Least Common Multiple (LCM) of 4302 and 4310 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 4302 and 4310. First we will calculate the prime factors of 4302 and 4310.

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 4310

Prime factors of 4310 are 2, 5, 431. Prime factorization of 4310 in exponential form is:

4310 = 21 × 51 × 4311

Now multiplying the highest exponent prime factors to calculate the LCM of 4302 and 4310.

LCM(4302,4310) = 21 × 32 × 2391 × 51 × 4311
LCM(4302,4310) = 9270810