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What is the Least Common Multiple of 59707 and 59717?

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 59707 and 59717 is 3565522919.

LCM(59707,59717) = 3565522919

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Least Common Multiple of 59707 and 59717 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 59707 and 59717, than apply into the LCM equation.

GCF(59707,59717) = 1
LCM(59707,59717) = ( 59707 × 59717) / 1
LCM(59707,59717) = 3565522919 / 1
LCM(59707,59717) = 3565522919

Least Common Multiple (LCM) of 59707 and 59717 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 59707 and 59717. First we will calculate the prime factors of 59707 and 59717.

Prime Factorization of 59707

Prime factors of 59707 are 59707. Prime factorization of 59707 in exponential form is:

59707 = 597071

Prime Factorization of 59717

Prime factors of 59717 are 7, 19, 449. Prime factorization of 59717 in exponential form is:

59717 = 71 × 191 × 4491

Now multiplying the highest exponent prime factors to calculate the LCM of 59707 and 59717.

LCM(59707,59717) = 597071 × 71 × 191 × 4491
LCM(59707,59717) = 3565522919