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What is the Least Common Multiple of 550 and 569?

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 550 and 569 is 312950.

LCM(550,569) = 312950

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Least Common Multiple of 550 and 569 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 550 and 569, than apply into the LCM equation.

GCF(550,569) = 1
LCM(550,569) = ( 550 × 569) / 1
LCM(550,569) = 312950 / 1
LCM(550,569) = 312950

Least Common Multiple (LCM) of 550 and 569 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 550 and 569. First we will calculate the prime factors of 550 and 569.

Prime Factorization of 550

Prime factors of 550 are 2, 5, 11. Prime factorization of 550 in exponential form is:

550 = 21 × 52 × 111

Prime Factorization of 569

Prime factors of 569 are 569. Prime factorization of 569 in exponential form is:

569 = 5691

Now multiplying the highest exponent prime factors to calculate the LCM of 550 and 569.

LCM(550,569) = 21 × 52 × 111 × 5691
LCM(550,569) = 312950