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What is the Least Common Multiple of 10376 and 10383?

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 10376 and 10383 is 107734008.

LCM(10376,10383) = 107734008

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Least Common Multiple of 10376 and 10383 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 10376 and 10383, than apply into the LCM equation.

GCF(10376,10383) = 1
LCM(10376,10383) = ( 10376 × 10383) / 1
LCM(10376,10383) = 107734008 / 1
LCM(10376,10383) = 107734008

Least Common Multiple (LCM) of 10376 and 10383 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 10376 and 10383. First we will calculate the prime factors of 10376 and 10383.

Prime Factorization of 10376

Prime factors of 10376 are 2, 1297. Prime factorization of 10376 in exponential form is:

10376 = 23 × 12971

Prime Factorization of 10383

Prime factors of 10383 are 3, 3461. Prime factorization of 10383 in exponential form is:

10383 = 31 × 34611

Now multiplying the highest exponent prime factors to calculate the LCM of 10376 and 10383.

LCM(10376,10383) = 23 × 12971 × 31 × 34611
LCM(10376,10383) = 107734008