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What is the Least Common Multiple of 63937 and 63945?

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 63937 and 63945 is 4088451465.

LCM(63937,63945) = 4088451465

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Least Common Multiple of 63937 and 63945 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 63937 and 63945, than apply into the LCM equation.

GCF(63937,63945) = 1
LCM(63937,63945) = ( 63937 × 63945) / 1
LCM(63937,63945) = 4088451465 / 1
LCM(63937,63945) = 4088451465

Least Common Multiple (LCM) of 63937 and 63945 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 63937 and 63945. First we will calculate the prime factors of 63937 and 63945.

Prime Factorization of 63937

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

63937 = 171 × 37611

Prime Factorization of 63945

Prime factors of 63945 are 3, 5, 7, 29. Prime factorization of 63945 in exponential form is:

63945 = 32 × 51 × 72 × 291

Now multiplying the highest exponent prime factors to calculate the LCM of 63937 and 63945.

LCM(63937,63945) = 171 × 37611 × 32 × 51 × 72 × 291
LCM(63937,63945) = 4088451465