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What is the Least Common Multiple of 58421 and 58433?

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 58421 and 58433 is 3413714293.

LCM(58421,58433) = 3413714293

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Least Common Multiple of 58421 and 58433 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 58421 and 58433, than apply into the LCM equation.

GCF(58421,58433) = 1
LCM(58421,58433) = ( 58421 × 58433) / 1
LCM(58421,58433) = 3413714293 / 1
LCM(58421,58433) = 3413714293

Least Common Multiple (LCM) of 58421 and 58433 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 58421 and 58433. First we will calculate the prime factors of 58421 and 58433.

Prime Factorization of 58421

Prime factors of 58421 are 11, 47, 113. Prime factorization of 58421 in exponential form is:

58421 = 111 × 471 × 1131

Prime Factorization of 58433

Prime factors of 58433 are 71, 823. Prime factorization of 58433 in exponential form is:

58433 = 711 × 8231

Now multiplying the highest exponent prime factors to calculate the LCM of 58421 and 58433.

LCM(58421,58433) = 111 × 471 × 1131 × 711 × 8231
LCM(58421,58433) = 3413714293