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What is the Least Common Multiple of 6618 and 6630?

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 6618 and 6630 is 7312890.

LCM(6618,6630) = 7312890

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Least Common Multiple of 6618 and 6630 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 6618 and 6630, than apply into the LCM equation.

GCF(6618,6630) = 6
LCM(6618,6630) = ( 6618 × 6630) / 6
LCM(6618,6630) = 43877340 / 6
LCM(6618,6630) = 7312890

Least Common Multiple (LCM) of 6618 and 6630 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 6618 and 6630. First we will calculate the prime factors of 6618 and 6630.

Prime Factorization of 6618

Prime factors of 6618 are 2, 3, 1103. Prime factorization of 6618 in exponential form is:

6618 = 21 × 31 × 11031

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

Now multiplying the highest exponent prime factors to calculate the LCM of 6618 and 6630.

LCM(6618,6630) = 21 × 31 × 11031 × 51 × 131 × 171
LCM(6618,6630) = 7312890