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What is the Least Common Multiple of 6650 and 6655?

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 6650 and 6655 is 8851150.

LCM(6650,6655) = 8851150

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Least Common Multiple of 6650 and 6655 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 6650 and 6655, than apply into the LCM equation.

GCF(6650,6655) = 5
LCM(6650,6655) = ( 6650 × 6655) / 5
LCM(6650,6655) = 44255750 / 5
LCM(6650,6655) = 8851150

Least Common Multiple (LCM) of 6650 and 6655 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 6650 and 6655. First we will calculate the prime factors of 6650 and 6655.

Prime Factorization of 6650

Prime factors of 6650 are 2, 5, 7, 19. Prime factorization of 6650 in exponential form is:

6650 = 21 × 52 × 71 × 191

Prime Factorization of 6655

Prime factors of 6655 are 5, 11. Prime factorization of 6655 in exponential form is:

6655 = 51 × 113

Now multiplying the highest exponent prime factors to calculate the LCM of 6650 and 6655.

LCM(6650,6655) = 21 × 52 × 71 × 191 × 113
LCM(6650,6655) = 8851150