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What is the Least Common Multiple of 29062 and 29078?

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 29062 and 29078 is 422532418.

LCM(29062,29078) = 422532418

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Least Common Multiple of 29062 and 29078 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 29062 and 29078, than apply into the LCM equation.

GCF(29062,29078) = 2
LCM(29062,29078) = ( 29062 × 29078) / 2
LCM(29062,29078) = 845064836 / 2
LCM(29062,29078) = 422532418

Least Common Multiple (LCM) of 29062 and 29078 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 29062 and 29078. First we will calculate the prime factors of 29062 and 29078.

Prime Factorization of 29062

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

29062 = 21 × 111 × 13211

Prime Factorization of 29078

Prime factors of 29078 are 2, 7, 31, 67. Prime factorization of 29078 in exponential form is:

29078 = 21 × 71 × 311 × 671

Now multiplying the highest exponent prime factors to calculate the LCM of 29062 and 29078.

LCM(29062,29078) = 21 × 111 × 13211 × 71 × 311 × 671
LCM(29062,29078) = 422532418