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What is the Least Common Multiple of 35844 and 35851?

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 35844 and 35851 is 1285043244.

LCM(35844,35851) = 1285043244

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Least Common Multiple of 35844 and 35851 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 35844 and 35851, than apply into the LCM equation.

GCF(35844,35851) = 1
LCM(35844,35851) = ( 35844 × 35851) / 1
LCM(35844,35851) = 1285043244 / 1
LCM(35844,35851) = 1285043244

Least Common Multiple (LCM) of 35844 and 35851 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 35844 and 35851. First we will calculate the prime factors of 35844 and 35851.

Prime Factorization of 35844

Prime factors of 35844 are 2, 3, 29, 103. Prime factorization of 35844 in exponential form is:

35844 = 22 × 31 × 291 × 1031

Prime Factorization of 35851

Prime factors of 35851 are 35851. Prime factorization of 35851 in exponential form is:

35851 = 358511

Now multiplying the highest exponent prime factors to calculate the LCM of 35844 and 35851.

LCM(35844,35851) = 22 × 31 × 291 × 1031 × 358511
LCM(35844,35851) = 1285043244