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What is the Least Common Multiple of 59887 and 59895?

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 59887 and 59895 is 3586931865.

LCM(59887,59895) = 3586931865

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Least Common Multiple of 59887 and 59895 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 59887 and 59895, than apply into the LCM equation.

GCF(59887,59895) = 1
LCM(59887,59895) = ( 59887 × 59895) / 1
LCM(59887,59895) = 3586931865 / 1
LCM(59887,59895) = 3586931865

Least Common Multiple (LCM) of 59887 and 59895 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 59887 and 59895. First we will calculate the prime factors of 59887 and 59895.

Prime Factorization of 59887

Prime factors of 59887 are 59887. Prime factorization of 59887 in exponential form is:

59887 = 598871

Prime Factorization of 59895

Prime factors of 59895 are 3, 5, 11. Prime factorization of 59895 in exponential form is:

59895 = 32 × 51 × 113

Now multiplying the highest exponent prime factors to calculate the LCM of 59887 and 59895.

LCM(59887,59895) = 598871 × 32 × 51 × 113
LCM(59887,59895) = 3586931865