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What is the Least Common Multiple of 6656 and 6670?

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 6656 and 6670 is 22197760.

LCM(6656,6670) = 22197760

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Least Common Multiple of 6656 and 6670 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 6656 and 6670, than apply into the LCM equation.

GCF(6656,6670) = 2
LCM(6656,6670) = ( 6656 × 6670) / 2
LCM(6656,6670) = 44395520 / 2
LCM(6656,6670) = 22197760

Least Common Multiple (LCM) of 6656 and 6670 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 6656 and 6670. First we will calculate the prime factors of 6656 and 6670.

Prime Factorization of 6656

Prime factors of 6656 are 2, 13. Prime factorization of 6656 in exponential form is:

6656 = 29 × 131

Prime Factorization of 6670

Prime factors of 6670 are 2, 5, 23, 29. Prime factorization of 6670 in exponential form is:

6670 = 21 × 51 × 231 × 291

Now multiplying the highest exponent prime factors to calculate the LCM of 6656 and 6670.

LCM(6656,6670) = 29 × 131 × 51 × 231 × 291
LCM(6656,6670) = 22197760