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What is the Least Common Multiple of 35359 and 35367?

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 35359 and 35367 is 1250541753.

LCM(35359,35367) = 1250541753

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Least Common Multiple of 35359 and 35367 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 35359 and 35367, than apply into the LCM equation.

GCF(35359,35367) = 1
LCM(35359,35367) = ( 35359 × 35367) / 1
LCM(35359,35367) = 1250541753 / 1
LCM(35359,35367) = 1250541753

Least Common Multiple (LCM) of 35359 and 35367 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 35359 and 35367. First we will calculate the prime factors of 35359 and 35367.

Prime Factorization of 35359

Prime factors of 35359 are 19, 1861. Prime factorization of 35359 in exponential form is:

35359 = 191 × 18611

Prime Factorization of 35367

Prime factors of 35367 are 3, 11789. Prime factorization of 35367 in exponential form is:

35367 = 31 × 117891

Now multiplying the highest exponent prime factors to calculate the LCM of 35359 and 35367.

LCM(35359,35367) = 191 × 18611 × 31 × 117891
LCM(35359,35367) = 1250541753