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What is the Least Common Multiple of 59801 and 59806?

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 59801 and 59806 is 3576458606.

LCM(59801,59806) = 3576458606

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Least Common Multiple of 59801 and 59806 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 59801 and 59806, than apply into the LCM equation.

GCF(59801,59806) = 1
LCM(59801,59806) = ( 59801 × 59806) / 1
LCM(59801,59806) = 3576458606 / 1
LCM(59801,59806) = 3576458606

Least Common Multiple (LCM) of 59801 and 59806 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 59801 and 59806. First we will calculate the prime factors of 59801 and 59806.

Prime Factorization of 59801

Prime factors of 59801 are 7, 8543. Prime factorization of 59801 in exponential form is:

59801 = 71 × 85431

Prime Factorization of 59806

Prime factors of 59806 are 2, 17, 1759. Prime factorization of 59806 in exponential form is:

59806 = 21 × 171 × 17591

Now multiplying the highest exponent prime factors to calculate the LCM of 59801 and 59806.

LCM(59801,59806) = 71 × 85431 × 21 × 171 × 17591
LCM(59801,59806) = 3576458606