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What is the Least Common Multiple of 35601 and 35605?

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 35601 and 35605 is 1267573605.

LCM(35601,35605) = 1267573605

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Least Common Multiple of 35601 and 35605 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 35601 and 35605, than apply into the LCM equation.

GCF(35601,35605) = 1
LCM(35601,35605) = ( 35601 × 35605) / 1
LCM(35601,35605) = 1267573605 / 1
LCM(35601,35605) = 1267573605

Least Common Multiple (LCM) of 35601 and 35605 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 35601 and 35605. First we will calculate the prime factors of 35601 and 35605.

Prime Factorization of 35601

Prime factors of 35601 are 3, 11867. Prime factorization of 35601 in exponential form is:

35601 = 31 × 118671

Prime Factorization of 35605

Prime factors of 35605 are 5, 7121. Prime factorization of 35605 in exponential form is:

35605 = 51 × 71211

Now multiplying the highest exponent prime factors to calculate the LCM of 35601 and 35605.

LCM(35601,35605) = 31 × 118671 × 51 × 71211
LCM(35601,35605) = 1267573605