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What is the Least Common Multiple of 547 and 567?

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 547 and 567 is 310149.

LCM(547,567) = 310149

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Least Common Multiple of 547 and 567 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 547 and 567, than apply into the LCM equation.

GCF(547,567) = 1
LCM(547,567) = ( 547 × 567) / 1
LCM(547,567) = 310149 / 1
LCM(547,567) = 310149

Least Common Multiple (LCM) of 547 and 567 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 547 and 567. First we will calculate the prime factors of 547 and 567.

Prime Factorization of 547

Prime factors of 547 are 547. Prime factorization of 547 in exponential form is:

547 = 5471

Prime Factorization of 567

Prime factors of 567 are 3, 7. Prime factorization of 567 in exponential form is:

567 = 34 × 71

Now multiplying the highest exponent prime factors to calculate the LCM of 547 and 567.

LCM(547,567) = 5471 × 34 × 71
LCM(547,567) = 310149