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What is the Least Common Multiple of 59855 and 59866?

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 59855 and 59866 is 3583279430.

LCM(59855,59866) = 3583279430

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Least Common Multiple of 59855 and 59866 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 59855 and 59866, than apply into the LCM equation.

GCF(59855,59866) = 1
LCM(59855,59866) = ( 59855 × 59866) / 1
LCM(59855,59866) = 3583279430 / 1
LCM(59855,59866) = 3583279430

Least Common Multiple (LCM) of 59855 and 59866 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 59855 and 59866. First we will calculate the prime factors of 59855 and 59866.

Prime Factorization of 59855

Prime factors of 59855 are 5, 11971. Prime factorization of 59855 in exponential form is:

59855 = 51 × 119711

Prime Factorization of 59866

Prime factors of 59866 are 2, 37, 809. Prime factorization of 59866 in exponential form is:

59866 = 21 × 371 × 8091

Now multiplying the highest exponent prime factors to calculate the LCM of 59855 and 59866.

LCM(59855,59866) = 51 × 119711 × 21 × 371 × 8091
LCM(59855,59866) = 3583279430