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What is the Least Common Multiple of 29041 and 29060?

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 29041 and 29060 is 843931460.

LCM(29041,29060) = 843931460

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Least Common Multiple of 29041 and 29060 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 29041 and 29060, than apply into the LCM equation.

GCF(29041,29060) = 1
LCM(29041,29060) = ( 29041 × 29060) / 1
LCM(29041,29060) = 843931460 / 1
LCM(29041,29060) = 843931460

Least Common Multiple (LCM) of 29041 and 29060 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 29041 and 29060. First we will calculate the prime factors of 29041 and 29060.

Prime Factorization of 29041

Prime factors of 29041 are 113, 257. Prime factorization of 29041 in exponential form is:

29041 = 1131 × 2571

Prime Factorization of 29060

Prime factors of 29060 are 2, 5, 1453. Prime factorization of 29060 in exponential form is:

29060 = 22 × 51 × 14531

Now multiplying the highest exponent prime factors to calculate the LCM of 29041 and 29060.

LCM(29041,29060) = 1131 × 2571 × 22 × 51 × 14531
LCM(29041,29060) = 843931460