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What is the Least Common Multiple of 2660 and 2666?

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 2660 and 2666 is 3545780.

LCM(2660,2666) = 3545780

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Least Common Multiple of 2660 and 2666 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 2660 and 2666, than apply into the LCM equation.

GCF(2660,2666) = 2
LCM(2660,2666) = ( 2660 × 2666) / 2
LCM(2660,2666) = 7091560 / 2
LCM(2660,2666) = 3545780

Least Common Multiple (LCM) of 2660 and 2666 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 2660 and 2666. First we will calculate the prime factors of 2660 and 2666.

Prime Factorization of 2660

Prime factors of 2660 are 2, 5, 7, 19. Prime factorization of 2660 in exponential form is:

2660 = 22 × 51 × 71 × 191

Prime Factorization of 2666

Prime factors of 2666 are 2, 31, 43. Prime factorization of 2666 in exponential form is:

2666 = 21 × 311 × 431

Now multiplying the highest exponent prime factors to calculate the LCM of 2660 and 2666.

LCM(2660,2666) = 22 × 51 × 71 × 191 × 311 × 431
LCM(2660,2666) = 3545780