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What is the Least Common Multiple of 56545 and 56554?

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 56545 and 56554 is 3197845930.

LCM(56545,56554) = 3197845930

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Least Common Multiple of 56545 and 56554 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 56545 and 56554, than apply into the LCM equation.

GCF(56545,56554) = 1
LCM(56545,56554) = ( 56545 × 56554) / 1
LCM(56545,56554) = 3197845930 / 1
LCM(56545,56554) = 3197845930

Least Common Multiple (LCM) of 56545 and 56554 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 56545 and 56554. First we will calculate the prime factors of 56545 and 56554.

Prime Factorization of 56545

Prime factors of 56545 are 5, 43, 263. Prime factorization of 56545 in exponential form is:

56545 = 51 × 431 × 2631

Prime Factorization of 56554

Prime factors of 56554 are 2, 28277. Prime factorization of 56554 in exponential form is:

56554 = 21 × 282771

Now multiplying the highest exponent prime factors to calculate the LCM of 56545 and 56554.

LCM(56545,56554) = 51 × 431 × 2631 × 21 × 282771
LCM(56545,56554) = 3197845930