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What is the Least Common Multiple of 59429 and 59434?

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 59429 and 59434 is 3532103186.

LCM(59429,59434) = 3532103186

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Least Common Multiple of 59429 and 59434 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 59429 and 59434, than apply into the LCM equation.

GCF(59429,59434) = 1
LCM(59429,59434) = ( 59429 × 59434) / 1
LCM(59429,59434) = 3532103186 / 1
LCM(59429,59434) = 3532103186

Least Common Multiple (LCM) of 59429 and 59434 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 59429 and 59434. First we will calculate the prime factors of 59429 and 59434.

Prime Factorization of 59429

Prime factors of 59429 are 67, 887. Prime factorization of 59429 in exponential form is:

59429 = 671 × 8871

Prime Factorization of 59434

Prime factors of 59434 are 2, 29717. Prime factorization of 59434 in exponential form is:

59434 = 21 × 297171

Now multiplying the highest exponent prime factors to calculate the LCM of 59429 and 59434.

LCM(59429,59434) = 671 × 8871 × 21 × 297171
LCM(59429,59434) = 3532103186