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What is the Least Common Multiple of 549 and 568?

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 549 and 568 is 311832.

LCM(549,568) = 311832

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Least Common Multiple of 549 and 568 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 549 and 568, than apply into the LCM equation.

GCF(549,568) = 1
LCM(549,568) = ( 549 × 568) / 1
LCM(549,568) = 311832 / 1
LCM(549,568) = 311832

Least Common Multiple (LCM) of 549 and 568 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 549 and 568. First we will calculate the prime factors of 549 and 568.

Prime Factorization of 549

Prime factors of 549 are 3, 61. Prime factorization of 549 in exponential form is:

549 = 32 × 611

Prime Factorization of 568

Prime factors of 568 are 2, 71. Prime factorization of 568 in exponential form is:

568 = 23 × 711

Now multiplying the highest exponent prime factors to calculate the LCM of 549 and 568.

LCM(549,568) = 32 × 611 × 23 × 711
LCM(549,568) = 311832