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What is the Least Common Multiple of 18703 and 18709?

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 18703 and 18709 is 349914427.

LCM(18703,18709) = 349914427

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Least Common Multiple of 18703 and 18709 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 18703 and 18709, than apply into the LCM equation.

GCF(18703,18709) = 1
LCM(18703,18709) = ( 18703 × 18709) / 1
LCM(18703,18709) = 349914427 / 1
LCM(18703,18709) = 349914427

Least Common Multiple (LCM) of 18703 and 18709 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 18703 and 18709. First we will calculate the prime factors of 18703 and 18709.

Prime Factorization of 18703

Prime factors of 18703 are 59, 317. Prime factorization of 18703 in exponential form is:

18703 = 591 × 3171

Prime Factorization of 18709

Prime factors of 18709 are 53, 353. Prime factorization of 18709 in exponential form is:

18709 = 531 × 3531

Now multiplying the highest exponent prime factors to calculate the LCM of 18703 and 18709.

LCM(18703,18709) = 591 × 3171 × 531 × 3531
LCM(18703,18709) = 349914427