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What is the Least Common Multiple of 59557 and 59571?

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 59557 and 59571 is 3547870047.

LCM(59557,59571) = 3547870047

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Least Common Multiple of 59557 and 59571 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 59557 and 59571, than apply into the LCM equation.

GCF(59557,59571) = 1
LCM(59557,59571) = ( 59557 × 59571) / 1
LCM(59557,59571) = 3547870047 / 1
LCM(59557,59571) = 3547870047

Least Common Multiple (LCM) of 59557 and 59571 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 59557 and 59571. First we will calculate the prime factors of 59557 and 59571.

Prime Factorization of 59557

Prime factors of 59557 are 59557. Prime factorization of 59557 in exponential form is:

59557 = 595571

Prime Factorization of 59571

Prime factors of 59571 are 3, 6619. Prime factorization of 59571 in exponential form is:

59571 = 32 × 66191

Now multiplying the highest exponent prime factors to calculate the LCM of 59557 and 59571.

LCM(59557,59571) = 595571 × 32 × 66191
LCM(59557,59571) = 3547870047