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What is the Least Common Multiple of 66606 and 66612?

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 66606 and 66612 is 739459812.

LCM(66606,66612) = 739459812

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Least Common Multiple of 66606 and 66612 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 66606 and 66612, than apply into the LCM equation.

GCF(66606,66612) = 6
LCM(66606,66612) = ( 66606 × 66612) / 6
LCM(66606,66612) = 4436758872 / 6
LCM(66606,66612) = 739459812

Least Common Multiple (LCM) of 66606 and 66612 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 66606 and 66612. First we will calculate the prime factors of 66606 and 66612.

Prime Factorization of 66606

Prime factors of 66606 are 2, 3, 17, 653. Prime factorization of 66606 in exponential form is:

66606 = 21 × 31 × 171 × 6531

Prime Factorization of 66612

Prime factors of 66612 are 2, 3, 7, 13, 61. Prime factorization of 66612 in exponential form is:

66612 = 22 × 31 × 71 × 131 × 611

Now multiplying the highest exponent prime factors to calculate the LCM of 66606 and 66612.

LCM(66606,66612) = 22 × 31 × 171 × 6531 × 71 × 131 × 611
LCM(66606,66612) = 739459812