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What is the Least Common Multiple of 63396 and 63411?

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 63396 and 63411 is 1340001252.

LCM(63396,63411) = 1340001252

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Least Common Multiple of 63396 and 63411 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 63396 and 63411, than apply into the LCM equation.

GCF(63396,63411) = 3
LCM(63396,63411) = ( 63396 × 63411) / 3
LCM(63396,63411) = 4020003756 / 3
LCM(63396,63411) = 1340001252

Least Common Multiple (LCM) of 63396 and 63411 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 63396 and 63411. First we will calculate the prime factors of 63396 and 63411.

Prime Factorization of 63396

Prime factors of 63396 are 2, 3, 587. Prime factorization of 63396 in exponential form is:

63396 = 22 × 33 × 5871

Prime Factorization of 63411

Prime factors of 63411 are 3, 23, 919. Prime factorization of 63411 in exponential form is:

63411 = 31 × 231 × 9191

Now multiplying the highest exponent prime factors to calculate the LCM of 63396 and 63411.

LCM(63396,63411) = 22 × 33 × 5871 × 231 × 9191
LCM(63396,63411) = 1340001252