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What is the Least Common Multiple of 4310 and 4319?

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 4310 and 4319 is 18614890.

LCM(4310,4319) = 18614890

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Least Common Multiple of 4310 and 4319 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 4310 and 4319, than apply into the LCM equation.

GCF(4310,4319) = 1
LCM(4310,4319) = ( 4310 × 4319) / 1
LCM(4310,4319) = 18614890 / 1
LCM(4310,4319) = 18614890

Least Common Multiple (LCM) of 4310 and 4319 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 4310 and 4319. First we will calculate the prime factors of 4310 and 4319.

Prime Factorization of 4310

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

4310 = 21 × 51 × 4311

Prime Factorization of 4319

Prime factors of 4319 are 7, 617. Prime factorization of 4319 in exponential form is:

4319 = 71 × 6171

Now multiplying the highest exponent prime factors to calculate the LCM of 4310 and 4319.

LCM(4310,4319) = 21 × 51 × 4311 × 71 × 6171
LCM(4310,4319) = 18614890