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What is the Least Common Multiple of 10319 and 10330?

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 10319 and 10330 is 106595270.

LCM(10319,10330) = 106595270

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Least Common Multiple of 10319 and 10330 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 10319 and 10330, than apply into the LCM equation.

GCF(10319,10330) = 1
LCM(10319,10330) = ( 10319 × 10330) / 1
LCM(10319,10330) = 106595270 / 1
LCM(10319,10330) = 106595270

Least Common Multiple (LCM) of 10319 and 10330 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 10319 and 10330. First we will calculate the prime factors of 10319 and 10330.

Prime Factorization of 10319

Prime factors of 10319 are 17, 607. Prime factorization of 10319 in exponential form is:

10319 = 171 × 6071

Prime Factorization of 10330

Prime factors of 10330 are 2, 5, 1033. Prime factorization of 10330 in exponential form is:

10330 = 21 × 51 × 10331

Now multiplying the highest exponent prime factors to calculate the LCM of 10319 and 10330.

LCM(10319,10330) = 171 × 6071 × 21 × 51 × 10331
LCM(10319,10330) = 106595270