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What is the Least Common Multiple of 58901 and 58921?

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 58901 and 58921 is 3470505821.

LCM(58901,58921) = 3470505821

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Least Common Multiple of 58901 and 58921 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 58901 and 58921, than apply into the LCM equation.

GCF(58901,58921) = 1
LCM(58901,58921) = ( 58901 × 58921) / 1
LCM(58901,58921) = 3470505821 / 1
LCM(58901,58921) = 3470505821

Least Common Multiple (LCM) of 58901 and 58921 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 58901 and 58921. First we will calculate the prime factors of 58901 and 58921.

Prime Factorization of 58901

Prime factors of 58901 are 58901. Prime factorization of 58901 in exponential form is:

58901 = 589011

Prime Factorization of 58921

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

58921 = 589211

Now multiplying the highest exponent prime factors to calculate the LCM of 58901 and 58921.

LCM(58901,58921) = 589011 × 589211
LCM(58901,58921) = 3470505821