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What is the Least Common Multiple of 56434 and 56449?

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 56434 and 56449 is 3185642866.

LCM(56434,56449) = 3185642866

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Least Common Multiple of 56434 and 56449 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 56434 and 56449, than apply into the LCM equation.

GCF(56434,56449) = 1
LCM(56434,56449) = ( 56434 × 56449) / 1
LCM(56434,56449) = 3185642866 / 1
LCM(56434,56449) = 3185642866

Least Common Multiple (LCM) of 56434 and 56449 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 56434 and 56449. First we will calculate the prime factors of 56434 and 56449.

Prime Factorization of 56434

Prime factors of 56434 are 2, 7, 29, 139. Prime factorization of 56434 in exponential form is:

56434 = 21 × 71 × 291 × 1391

Prime Factorization of 56449

Prime factors of 56449 are 19, 2971. Prime factorization of 56449 in exponential form is:

56449 = 191 × 29711

Now multiplying the highest exponent prime factors to calculate the LCM of 56434 and 56449.

LCM(56434,56449) = 21 × 71 × 291 × 1391 × 191 × 29711
LCM(56434,56449) = 3185642866