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What is the Least Common Multiple of 59847 and 59867?

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 59847 and 59867 is 3582860349.

LCM(59847,59867) = 3582860349

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Least Common Multiple of 59847 and 59867 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 59847 and 59867, than apply into the LCM equation.

GCF(59847,59867) = 1
LCM(59847,59867) = ( 59847 × 59867) / 1
LCM(59847,59867) = 3582860349 / 1
LCM(59847,59867) = 3582860349

Least Common Multiple (LCM) of 59847 and 59867 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 59847 and 59867. First we will calculate the prime factors of 59847 and 59867.

Prime Factorization of 59847

Prime factors of 59847 are 3, 19949. Prime factorization of 59847 in exponential form is:

59847 = 31 × 199491

Prime Factorization of 59867

Prime factors of 59867 are 131, 457. Prime factorization of 59867 in exponential form is:

59867 = 1311 × 4571

Now multiplying the highest exponent prime factors to calculate the LCM of 59847 and 59867.

LCM(59847,59867) = 31 × 199491 × 1311 × 4571
LCM(59847,59867) = 3582860349