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What is the Least Common Multiple of 6634 and 6648?

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 6634 and 6648 is 22051416.

LCM(6634,6648) = 22051416

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Least Common Multiple of 6634 and 6648 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 6634 and 6648, than apply into the LCM equation.

GCF(6634,6648) = 2
LCM(6634,6648) = ( 6634 × 6648) / 2
LCM(6634,6648) = 44102832 / 2
LCM(6634,6648) = 22051416

Least Common Multiple (LCM) of 6634 and 6648 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 6634 and 6648. First we will calculate the prime factors of 6634 and 6648.

Prime Factorization of 6634

Prime factors of 6634 are 2, 31, 107. Prime factorization of 6634 in exponential form is:

6634 = 21 × 311 × 1071

Prime Factorization of 6648

Prime factors of 6648 are 2, 3, 277. Prime factorization of 6648 in exponential form is:

6648 = 23 × 31 × 2771

Now multiplying the highest exponent prime factors to calculate the LCM of 6634 and 6648.

LCM(6634,6648) = 23 × 311 × 1071 × 31 × 2771
LCM(6634,6648) = 22051416