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What is the Least Common Multiple of 35874 and 35882?

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 35874 and 35882 is 643615434.

LCM(35874,35882) = 643615434

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Least Common Multiple of 35874 and 35882 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 35874 and 35882, than apply into the LCM equation.

GCF(35874,35882) = 2
LCM(35874,35882) = ( 35874 × 35882) / 2
LCM(35874,35882) = 1287230868 / 2
LCM(35874,35882) = 643615434

Least Common Multiple (LCM) of 35874 and 35882 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 35874 and 35882. First we will calculate the prime factors of 35874 and 35882.

Prime Factorization of 35874

Prime factors of 35874 are 2, 3, 1993. Prime factorization of 35874 in exponential form is:

35874 = 21 × 32 × 19931

Prime Factorization of 35882

Prime factors of 35882 are 2, 7, 11, 233. Prime factorization of 35882 in exponential form is:

35882 = 21 × 71 × 111 × 2331

Now multiplying the highest exponent prime factors to calculate the LCM of 35874 and 35882.

LCM(35874,35882) = 21 × 32 × 19931 × 71 × 111 × 2331
LCM(35874,35882) = 643615434