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What is the Least Common Multiple of 66408 and 66412?

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 66408 and 66412 is 1102572024.

LCM(66408,66412) = 1102572024

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Least Common Multiple of 66408 and 66412 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 66408 and 66412, than apply into the LCM equation.

GCF(66408,66412) = 4
LCM(66408,66412) = ( 66408 × 66412) / 4
LCM(66408,66412) = 4410288096 / 4
LCM(66408,66412) = 1102572024

Least Common Multiple (LCM) of 66408 and 66412 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 66408 and 66412. First we will calculate the prime factors of 66408 and 66412.

Prime Factorization of 66408

Prime factors of 66408 are 2, 3, 2767. Prime factorization of 66408 in exponential form is:

66408 = 23 × 31 × 27671

Prime Factorization of 66412

Prime factors of 66412 are 2, 16603. Prime factorization of 66412 in exponential form is:

66412 = 22 × 166031

Now multiplying the highest exponent prime factors to calculate the LCM of 66408 and 66412.

LCM(66408,66412) = 23 × 31 × 27671 × 166031
LCM(66408,66412) = 1102572024