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What is the Least Common Multiple of 66680 and 66686?

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 66680 and 66686 is 2223311240.

LCM(66680,66686) = 2223311240

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Least Common Multiple of 66680 and 66686 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 66680 and 66686, than apply into the LCM equation.

GCF(66680,66686) = 2
LCM(66680,66686) = ( 66680 × 66686) / 2
LCM(66680,66686) = 4446622480 / 2
LCM(66680,66686) = 2223311240

Least Common Multiple (LCM) of 66680 and 66686 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 66680 and 66686. First we will calculate the prime factors of 66680 and 66686.

Prime Factorization of 66680

Prime factors of 66680 are 2, 5, 1667. Prime factorization of 66680 in exponential form is:

66680 = 23 × 51 × 16671

Prime Factorization of 66686

Prime factors of 66686 are 2, 33343. Prime factorization of 66686 in exponential form is:

66686 = 21 × 333431

Now multiplying the highest exponent prime factors to calculate the LCM of 66680 and 66686.

LCM(66680,66686) = 23 × 51 × 16671 × 333431
LCM(66680,66686) = 2223311240