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What is the Least Common Multiple of 6630 and 6634?

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 6630 and 6634 is 21991710.

LCM(6630,6634) = 21991710

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Least Common Multiple of 6630 and 6634 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 6630 and 6634, than apply into the LCM equation.

GCF(6630,6634) = 2
LCM(6630,6634) = ( 6630 × 6634) / 2
LCM(6630,6634) = 43983420 / 2
LCM(6630,6634) = 21991710

Least Common Multiple (LCM) of 6630 and 6634 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 6630 and 6634. First we will calculate the prime factors of 6630 and 6634.

Prime Factorization of 6630

Prime factors of 6630 are 2, 3, 5, 13, 17. Prime factorization of 6630 in exponential form is:

6630 = 21 × 31 × 51 × 131 × 171

Prime Factorization of 6634

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

6634 = 21 × 311 × 1071

Now multiplying the highest exponent prime factors to calculate the LCM of 6630 and 6634.

LCM(6630,6634) = 21 × 31 × 51 × 131 × 171 × 311 × 1071
LCM(6630,6634) = 21991710