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What is the Least Common Multiple of 57029 and 57046?

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 57029 and 57046 is 3253276334.

LCM(57029,57046) = 3253276334

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Least Common Multiple of 57029 and 57046 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 57029 and 57046, than apply into the LCM equation.

GCF(57029,57046) = 1
LCM(57029,57046) = ( 57029 × 57046) / 1
LCM(57029,57046) = 3253276334 / 1
LCM(57029,57046) = 3253276334

Least Common Multiple (LCM) of 57029 and 57046 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 57029 and 57046. First we will calculate the prime factors of 57029 and 57046.

Prime Factorization of 57029

Prime factors of 57029 are 7, 8147. Prime factorization of 57029 in exponential form is:

57029 = 71 × 81471

Prime Factorization of 57046

Prime factors of 57046 are 2, 11, 2593. Prime factorization of 57046 in exponential form is:

57046 = 21 × 111 × 25931

Now multiplying the highest exponent prime factors to calculate the LCM of 57029 and 57046.

LCM(57029,57046) = 71 × 81471 × 21 × 111 × 25931
LCM(57029,57046) = 3253276334