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What is the Least Common Multiple of 6634 and 6652?

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 6652 is 22064684.

LCM(6634,6652) = 22064684

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Least Common Multiple of 6634 and 6652 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 6652, than apply into the LCM equation.

GCF(6634,6652) = 2
LCM(6634,6652) = ( 6634 × 6652) / 2
LCM(6634,6652) = 44129368 / 2
LCM(6634,6652) = 22064684

Least Common Multiple (LCM) of 6634 and 6652 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 6634 and 6652. First we will calculate the prime factors of 6634 and 6652.

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 6652

Prime factors of 6652 are 2, 1663. Prime factorization of 6652 in exponential form is:

6652 = 22 × 16631

Now multiplying the highest exponent prime factors to calculate the LCM of 6634 and 6652.

LCM(6634,6652) = 22 × 311 × 1071 × 16631
LCM(6634,6652) = 22064684