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What is the Least Common Multiple of 66396 and 66415?

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 66396 and 66415 is 4409690340.

LCM(66396,66415) = 4409690340

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Least Common Multiple of 66396 and 66415 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 66396 and 66415, than apply into the LCM equation.

GCF(66396,66415) = 1
LCM(66396,66415) = ( 66396 × 66415) / 1
LCM(66396,66415) = 4409690340 / 1
LCM(66396,66415) = 4409690340

Least Common Multiple (LCM) of 66396 and 66415 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 66396 and 66415. First we will calculate the prime factors of 66396 and 66415.

Prime Factorization of 66396

Prime factors of 66396 are 2, 3, 11, 503. Prime factorization of 66396 in exponential form is:

66396 = 22 × 31 × 111 × 5031

Prime Factorization of 66415

Prime factors of 66415 are 5, 37, 359. Prime factorization of 66415 in exponential form is:

66415 = 51 × 371 × 3591

Now multiplying the highest exponent prime factors to calculate the LCM of 66396 and 66415.

LCM(66396,66415) = 22 × 31 × 111 × 5031 × 51 × 371 × 3591
LCM(66396,66415) = 4409690340