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What is the Least Common Multiple of 29047 and 29062?

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 29047 and 29062 is 844163914.

LCM(29047,29062) = 844163914

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Least Common Multiple of 29047 and 29062 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 29047 and 29062, than apply into the LCM equation.

GCF(29047,29062) = 1
LCM(29047,29062) = ( 29047 × 29062) / 1
LCM(29047,29062) = 844163914 / 1
LCM(29047,29062) = 844163914

Least Common Multiple (LCM) of 29047 and 29062 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 29047 and 29062. First we will calculate the prime factors of 29047 and 29062.

Prime Factorization of 29047

Prime factors of 29047 are 31, 937. Prime factorization of 29047 in exponential form is:

29047 = 311 × 9371

Prime Factorization of 29062

Prime factors of 29062 are 2, 11, 1321. Prime factorization of 29062 in exponential form is:

29062 = 21 × 111 × 13211

Now multiplying the highest exponent prime factors to calculate the LCM of 29047 and 29062.

LCM(29047,29062) = 311 × 9371 × 21 × 111 × 13211
LCM(29047,29062) = 844163914