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What is the Least Common Multiple of 29539 and 29558?

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 29539 and 29558 is 873113762.

LCM(29539,29558) = 873113762

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Least Common Multiple of 29539 and 29558 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 29539 and 29558, than apply into the LCM equation.

GCF(29539,29558) = 1
LCM(29539,29558) = ( 29539 × 29558) / 1
LCM(29539,29558) = 873113762 / 1
LCM(29539,29558) = 873113762

Least Common Multiple (LCM) of 29539 and 29558 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 29539 and 29558. First we will calculate the prime factors of 29539 and 29558.

Prime Factorization of 29539

Prime factors of 29539 are 109, 271. Prime factorization of 29539 in exponential form is:

29539 = 1091 × 2711

Prime Factorization of 29558

Prime factors of 29558 are 2, 14779. Prime factorization of 29558 in exponential form is:

29558 = 21 × 147791

Now multiplying the highest exponent prime factors to calculate the LCM of 29539 and 29558.

LCM(29539,29558) = 1091 × 2711 × 21 × 147791
LCM(29539,29558) = 873113762