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What is the Least Common Multiple of 6354 and 6359?

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 6354 and 6359 is 40405086.

LCM(6354,6359) = 40405086

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Least Common Multiple of 6354 and 6359 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 6354 and 6359, than apply into the LCM equation.

GCF(6354,6359) = 1
LCM(6354,6359) = ( 6354 × 6359) / 1
LCM(6354,6359) = 40405086 / 1
LCM(6354,6359) = 40405086

Least Common Multiple (LCM) of 6354 and 6359 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 6354 and 6359. First we will calculate the prime factors of 6354 and 6359.

Prime Factorization of 6354

Prime factors of 6354 are 2, 3, 353. Prime factorization of 6354 in exponential form is:

6354 = 21 × 32 × 3531

Prime Factorization of 6359

Prime factors of 6359 are 6359. Prime factorization of 6359 in exponential form is:

6359 = 63591

Now multiplying the highest exponent prime factors to calculate the LCM of 6354 and 6359.

LCM(6354,6359) = 21 × 32 × 3531 × 63591
LCM(6354,6359) = 40405086