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What is the Least Common Multiple of 56017 and 56034?

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 56017 and 56034 is 3138856578.

LCM(56017,56034) = 3138856578

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Least Common Multiple of 56017 and 56034 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 56017 and 56034, than apply into the LCM equation.

GCF(56017,56034) = 1
LCM(56017,56034) = ( 56017 × 56034) / 1
LCM(56017,56034) = 3138856578 / 1
LCM(56017,56034) = 3138856578

Least Common Multiple (LCM) of 56017 and 56034 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 56017 and 56034. First we will calculate the prime factors of 56017 and 56034.

Prime Factorization of 56017

Prime factors of 56017 are 13, 31, 139. Prime factorization of 56017 in exponential form is:

56017 = 131 × 311 × 1391

Prime Factorization of 56034

Prime factors of 56034 are 2, 3, 11, 283. Prime factorization of 56034 in exponential form is:

56034 = 21 × 32 × 111 × 2831

Now multiplying the highest exponent prime factors to calculate the LCM of 56017 and 56034.

LCM(56017,56034) = 131 × 311 × 1391 × 21 × 32 × 111 × 2831
LCM(56017,56034) = 3138856578