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What is the Least Common Multiple of 58413 and 58426?

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 58413 and 58426 is 3412837938.

LCM(58413,58426) = 3412837938

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Least Common Multiple of 58413 and 58426 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 58413 and 58426, than apply into the LCM equation.

GCF(58413,58426) = 1
LCM(58413,58426) = ( 58413 × 58426) / 1
LCM(58413,58426) = 3412837938 / 1
LCM(58413,58426) = 3412837938

Least Common Multiple (LCM) of 58413 and 58426 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 58413 and 58426. First we will calculate the prime factors of 58413 and 58426.

Prime Factorization of 58413

Prime factors of 58413 are 3, 19471. Prime factorization of 58413 in exponential form is:

58413 = 31 × 194711

Prime Factorization of 58426

Prime factors of 58426 are 2, 131, 223. Prime factorization of 58426 in exponential form is:

58426 = 21 × 1311 × 2231

Now multiplying the highest exponent prime factors to calculate the LCM of 58413 and 58426.

LCM(58413,58426) = 31 × 194711 × 21 × 1311 × 2231
LCM(58413,58426) = 3412837938