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What is the Least Common Multiple of 66411 and 66424?

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 66411 and 66424 is 4411284264.

LCM(66411,66424) = 4411284264

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Least Common Multiple of 66411 and 66424 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 66411 and 66424, than apply into the LCM equation.

GCF(66411,66424) = 1
LCM(66411,66424) = ( 66411 × 66424) / 1
LCM(66411,66424) = 4411284264 / 1
LCM(66411,66424) = 4411284264

Least Common Multiple (LCM) of 66411 and 66424 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 66411 and 66424. First we will calculate the prime factors of 66411 and 66424.

Prime Factorization of 66411

Prime factors of 66411 are 3, 47, 157. Prime factorization of 66411 in exponential form is:

66411 = 32 × 471 × 1571

Prime Factorization of 66424

Prime factors of 66424 are 2, 19, 23. Prime factorization of 66424 in exponential form is:

66424 = 23 × 192 × 231

Now multiplying the highest exponent prime factors to calculate the LCM of 66411 and 66424.

LCM(66411,66424) = 32 × 471 × 1571 × 23 × 192 × 231
LCM(66411,66424) = 4411284264