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What is the Least Common Multiple of 35587 and 35602?

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 35587 and 35602 is 1266968374.

LCM(35587,35602) = 1266968374

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Least Common Multiple of 35587 and 35602 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 35587 and 35602, than apply into the LCM equation.

GCF(35587,35602) = 1
LCM(35587,35602) = ( 35587 × 35602) / 1
LCM(35587,35602) = 1266968374 / 1
LCM(35587,35602) = 1266968374

Least Common Multiple (LCM) of 35587 and 35602 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 35587 and 35602. First we will calculate the prime factors of 35587 and 35602.

Prime Factorization of 35587

Prime factors of 35587 are 19, 1873. Prime factorization of 35587 in exponential form is:

35587 = 191 × 18731

Prime Factorization of 35602

Prime factors of 35602 are 2, 7, 2543. Prime factorization of 35602 in exponential form is:

35602 = 21 × 71 × 25431

Now multiplying the highest exponent prime factors to calculate the LCM of 35587 and 35602.

LCM(35587,35602) = 191 × 18731 × 21 × 71 × 25431
LCM(35587,35602) = 1266968374