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What is the Least Common Multiple of 58927 and 58931?

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 58927 and 58931 is 3472627037.

LCM(58927,58931) = 3472627037

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Least Common Multiple of 58927 and 58931 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 58927 and 58931, than apply into the LCM equation.

GCF(58927,58931) = 1
LCM(58927,58931) = ( 58927 × 58931) / 1
LCM(58927,58931) = 3472627037 / 1
LCM(58927,58931) = 3472627037

Least Common Multiple (LCM) of 58927 and 58931 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 58927 and 58931. First we will calculate the prime factors of 58927 and 58931.

Prime Factorization of 58927

Prime factors of 58927 are 11, 487. Prime factorization of 58927 in exponential form is:

58927 = 112 × 4871

Prime Factorization of 58931

Prime factors of 58931 are 31, 1901. Prime factorization of 58931 in exponential form is:

58931 = 311 × 19011

Now multiplying the highest exponent prime factors to calculate the LCM of 58927 and 58931.

LCM(58927,58931) = 112 × 4871 × 311 × 19011
LCM(58927,58931) = 3472627037