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What is the Least Common Multiple of 6680 and 6690?

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 6680 and 6690 is 4468920.

LCM(6680,6690) = 4468920

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Least Common Multiple of 6680 and 6690 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 6680 and 6690, than apply into the LCM equation.

GCF(6680,6690) = 10
LCM(6680,6690) = ( 6680 × 6690) / 10
LCM(6680,6690) = 44689200 / 10
LCM(6680,6690) = 4468920

Least Common Multiple (LCM) of 6680 and 6690 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 6680 and 6690. First we will calculate the prime factors of 6680 and 6690.

Prime Factorization of 6680

Prime factors of 6680 are 2, 5, 167. Prime factorization of 6680 in exponential form is:

6680 = 23 × 51 × 1671

Prime Factorization of 6690

Prime factors of 6690 are 2, 3, 5, 223. Prime factorization of 6690 in exponential form is:

6690 = 21 × 31 × 51 × 2231

Now multiplying the highest exponent prime factors to calculate the LCM of 6680 and 6690.

LCM(6680,6690) = 23 × 51 × 1671 × 31 × 2231
LCM(6680,6690) = 4468920