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What is the Least Common Multiple of 58921 and 58937?

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 58921 and 58937 is 3472626977.

LCM(58921,58937) = 3472626977

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Least Common Multiple of 58921 and 58937 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 58921 and 58937, than apply into the LCM equation.

GCF(58921,58937) = 1
LCM(58921,58937) = ( 58921 × 58937) / 1
LCM(58921,58937) = 3472626977 / 1
LCM(58921,58937) = 3472626977

Least Common Multiple (LCM) of 58921 and 58937 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 58921 and 58937. First we will calculate the prime factors of 58921 and 58937.

Prime Factorization of 58921

Prime factors of 58921 are 58921. Prime factorization of 58921 in exponential form is:

58921 = 589211

Prime Factorization of 58937

Prime factors of 58937 are 58937. Prime factorization of 58937 in exponential form is:

58937 = 589371

Now multiplying the highest exponent prime factors to calculate the LCM of 58921 and 58937.

LCM(58921,58937) = 589211 × 589371
LCM(58921,58937) = 3472626977