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What is the Least Common Multiple of 63466 and 63486?

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 63466 and 63486 is 2014601238.

LCM(63466,63486) = 2014601238

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Least Common Multiple of 63466 and 63486 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 63466 and 63486, than apply into the LCM equation.

GCF(63466,63486) = 2
LCM(63466,63486) = ( 63466 × 63486) / 2
LCM(63466,63486) = 4029202476 / 2
LCM(63466,63486) = 2014601238

Least Common Multiple (LCM) of 63466 and 63486 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 63466 and 63486. First we will calculate the prime factors of 63466 and 63486.

Prime Factorization of 63466

Prime factors of 63466 are 2, 13, 2441. Prime factorization of 63466 in exponential form is:

63466 = 21 × 131 × 24411

Prime Factorization of 63486

Prime factors of 63486 are 2, 3, 3527. Prime factorization of 63486 in exponential form is:

63486 = 21 × 32 × 35271

Now multiplying the highest exponent prime factors to calculate the LCM of 63466 and 63486.

LCM(63466,63486) = 21 × 131 × 24411 × 32 × 35271
LCM(63466,63486) = 2014601238