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What is the Least Common Multiple of 63918 and 63931?

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 63918 and 63931 is 4086341658.

LCM(63918,63931) = 4086341658

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Least Common Multiple of 63918 and 63931 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 63918 and 63931, than apply into the LCM equation.

GCF(63918,63931) = 1
LCM(63918,63931) = ( 63918 × 63931) / 1
LCM(63918,63931) = 4086341658 / 1
LCM(63918,63931) = 4086341658

Least Common Multiple (LCM) of 63918 and 63931 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 63918 and 63931. First we will calculate the prime factors of 63918 and 63931.

Prime Factorization of 63918

Prime factors of 63918 are 2, 3, 53, 67. Prime factorization of 63918 in exponential form is:

63918 = 21 × 32 × 531 × 671

Prime Factorization of 63931

Prime factors of 63931 are 7, 9133. Prime factorization of 63931 in exponential form is:

63931 = 71 × 91331

Now multiplying the highest exponent prime factors to calculate the LCM of 63918 and 63931.

LCM(63918,63931) = 21 × 32 × 531 × 671 × 71 × 91331
LCM(63918,63931) = 4086341658