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What is the Least Common Multiple of 63923 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 63923 and 63931 is 4086661313.

LCM(63923,63931) = 4086661313

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Least Common Multiple of 63923 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 63923 and 63931, than apply into the LCM equation.

GCF(63923,63931) = 1
LCM(63923,63931) = ( 63923 × 63931) / 1
LCM(63923,63931) = 4086661313 / 1
LCM(63923,63931) = 4086661313

Least Common Multiple (LCM) of 63923 and 63931 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 63923 and 63931. First we will calculate the prime factors of 63923 and 63931.

Prime Factorization of 63923

Prime factors of 63923 are 97, 659. Prime factorization of 63923 in exponential form is:

63923 = 971 × 6591

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 63923 and 63931.

LCM(63923,63931) = 971 × 6591 × 71 × 91331
LCM(63923,63931) = 4086661313