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What is the Least Common Multiple of 63917 and 63937?

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 63937 is 4086661229.

LCM(63917,63937) = 4086661229

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Least Common Multiple of 63917 and 63937 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 63937, than apply into the LCM equation.

GCF(63917,63937) = 1
LCM(63917,63937) = ( 63917 × 63937) / 1
LCM(63917,63937) = 4086661229 / 1
LCM(63917,63937) = 4086661229

Least Common Multiple (LCM) of 63917 and 63937 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 63917 and 63937. First we will calculate the prime factors of 63917 and 63937.

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 63937

Prime factors of 63937 are 17, 3761. Prime factorization of 63937 in exponential form is:

63937 = 171 × 37611

Now multiplying the highest exponent prime factors to calculate the LCM of 63917 and 63937.

LCM(63917,63937) = 71 × 231 × 3971 × 171 × 37611
LCM(63917,63937) = 4086661229