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What is the Least Common Multiple of 6550 and 6554?

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 6550 and 6554 is 21464350.

LCM(6550,6554) = 21464350

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Least Common Multiple of 6550 and 6554 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 6550 and 6554, than apply into the LCM equation.

GCF(6550,6554) = 2
LCM(6550,6554) = ( 6550 × 6554) / 2
LCM(6550,6554) = 42928700 / 2
LCM(6550,6554) = 21464350

Least Common Multiple (LCM) of 6550 and 6554 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 6550 and 6554. First we will calculate the prime factors of 6550 and 6554.

Prime Factorization of 6550

Prime factors of 6550 are 2, 5, 131. Prime factorization of 6550 in exponential form is:

6550 = 21 × 52 × 1311

Prime Factorization of 6554

Prime factors of 6554 are 2, 29, 113. Prime factorization of 6554 in exponential form is:

6554 = 21 × 291 × 1131

Now multiplying the highest exponent prime factors to calculate the LCM of 6550 and 6554.

LCM(6550,6554) = 21 × 52 × 1311 × 291 × 1131
LCM(6550,6554) = 21464350