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What is the Least Common Multiple of 63917 and 63925?

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 63917 and 63925 is 4085894225.

LCM(63917,63925) = 4085894225

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Least Common Multiple of 63917 and 63925 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 63917 and 63925, than apply into the LCM equation.

GCF(63917,63925) = 1
LCM(63917,63925) = ( 63917 × 63925) / 1
LCM(63917,63925) = 4085894225 / 1
LCM(63917,63925) = 4085894225

Least Common Multiple (LCM) of 63917 and 63925 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 63917 and 63925. First we will calculate the prime factors of 63917 and 63925.

Prime Factorization of 63917

Prime factors of 63917 are 7, 23, 397. Prime factorization of 63917 in exponential form is:

63917 = 71 × 231 × 3971

Prime Factorization of 63925

Prime factors of 63925 are 5, 2557. Prime factorization of 63925 in exponential form is:

63925 = 52 × 25571

Now multiplying the highest exponent prime factors to calculate the LCM of 63917 and 63925.

LCM(63917,63925) = 71 × 231 × 3971 × 52 × 25571
LCM(63917,63925) = 4085894225