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What is the Least Common Multiple of 6634 and 6642?

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 6642 is 22031514.

LCM(6634,6642) = 22031514

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Least Common Multiple of 6634 and 6642 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 6642, than apply into the LCM equation.

GCF(6634,6642) = 2
LCM(6634,6642) = ( 6634 × 6642) / 2
LCM(6634,6642) = 44063028 / 2
LCM(6634,6642) = 22031514

Least Common Multiple (LCM) of 6634 and 6642 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 6634 and 6642. First we will calculate the prime factors of 6634 and 6642.

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 6642

Prime factors of 6642 are 2, 3, 41. Prime factorization of 6642 in exponential form is:

6642 = 21 × 34 × 411

Now multiplying the highest exponent prime factors to calculate the LCM of 6634 and 6642.

LCM(6634,6642) = 21 × 311 × 1071 × 34 × 411
LCM(6634,6642) = 22031514