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What is the Least Common Multiple of 63371 and 63386?

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 63371 and 63386 is 4016834206.

LCM(63371,63386) = 4016834206

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Least Common Multiple of 63371 and 63386 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 63371 and 63386, than apply into the LCM equation.

GCF(63371,63386) = 1
LCM(63371,63386) = ( 63371 × 63386) / 1
LCM(63371,63386) = 4016834206 / 1
LCM(63371,63386) = 4016834206

Least Common Multiple (LCM) of 63371 and 63386 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 63371 and 63386. First we will calculate the prime factors of 63371 and 63386.

Prime Factorization of 63371

Prime factors of 63371 are 7, 11, 823. Prime factorization of 63371 in exponential form is:

63371 = 71 × 111 × 8231

Prime Factorization of 63386

Prime factors of 63386 are 2, 41, 773. Prime factorization of 63386 in exponential form is:

63386 = 21 × 411 × 7731

Now multiplying the highest exponent prime factors to calculate the LCM of 63371 and 63386.

LCM(63371,63386) = 71 × 111 × 8231 × 21 × 411 × 7731
LCM(63371,63386) = 4016834206