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What is the Least Common Multiple of 59882 and 59901?

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 59882 and 59901 is 3586991682.

LCM(59882,59901) = 3586991682

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Least Common Multiple of 59882 and 59901 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 59882 and 59901, than apply into the LCM equation.

GCF(59882,59901) = 1
LCM(59882,59901) = ( 59882 × 59901) / 1
LCM(59882,59901) = 3586991682 / 1
LCM(59882,59901) = 3586991682

Least Common Multiple (LCM) of 59882 and 59901 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 59882 and 59901. First we will calculate the prime factors of 59882 and 59901.

Prime Factorization of 59882

Prime factors of 59882 are 2, 79, 379. Prime factorization of 59882 in exponential form is:

59882 = 21 × 791 × 3791

Prime Factorization of 59901

Prime factors of 59901 are 3, 41, 487. Prime factorization of 59901 in exponential form is:

59901 = 31 × 411 × 4871

Now multiplying the highest exponent prime factors to calculate the LCM of 59882 and 59901.

LCM(59882,59901) = 21 × 791 × 3791 × 31 × 411 × 4871
LCM(59882,59901) = 3586991682