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What is the Least Common Multiple of 59861 and 59865?

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 59861 and 59865 is 3583578765.

LCM(59861,59865) = 3583578765

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Least Common Multiple of 59861 and 59865 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 59861 and 59865, than apply into the LCM equation.

GCF(59861,59865) = 1
LCM(59861,59865) = ( 59861 × 59865) / 1
LCM(59861,59865) = 3583578765 / 1
LCM(59861,59865) = 3583578765

Least Common Multiple (LCM) of 59861 and 59865 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 59861 and 59865. First we will calculate the prime factors of 59861 and 59865.

Prime Factorization of 59861

Prime factors of 59861 are 31, 1931. Prime factorization of 59861 in exponential form is:

59861 = 311 × 19311

Prime Factorization of 59865

Prime factors of 59865 are 3, 5, 13, 307. Prime factorization of 59865 in exponential form is:

59865 = 31 × 51 × 131 × 3071

Now multiplying the highest exponent prime factors to calculate the LCM of 59861 and 59865.

LCM(59861,59865) = 311 × 19311 × 31 × 51 × 131 × 3071
LCM(59861,59865) = 3583578765