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What is the Least Common Multiple of 56547 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 56547 and 56554 is 3197959038.

LCM(56547,56554) = 3197959038

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Least Common Multiple of 56547 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 56547 and 56554, than apply into the LCM equation.

GCF(56547,56554) = 1
LCM(56547,56554) = ( 56547 × 56554) / 1
LCM(56547,56554) = 3197959038 / 1
LCM(56547,56554) = 3197959038

Least Common Multiple (LCM) of 56547 and 56554 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 56547 and 56554. First we will calculate the prime factors of 56547 and 56554.

Prime Factorization of 56547

Prime factors of 56547 are 3, 61, 103. Prime factorization of 56547 in exponential form is:

56547 = 32 × 611 × 1031

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 56547 and 56554.

LCM(56547,56554) = 32 × 611 × 1031 × 21 × 282771
LCM(56547,56554) = 3197959038