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What is the Least Common Multiple of 63539 and 63550?

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 63539 and 63550 is 4037903450.

LCM(63539,63550) = 4037903450

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Least Common Multiple of 63539 and 63550 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 63539 and 63550, than apply into the LCM equation.

GCF(63539,63550) = 1
LCM(63539,63550) = ( 63539 × 63550) / 1
LCM(63539,63550) = 4037903450 / 1
LCM(63539,63550) = 4037903450

Least Common Multiple (LCM) of 63539 and 63550 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 63539 and 63550. First we will calculate the prime factors of 63539 and 63550.

Prime Factorization of 63539

Prime factors of 63539 are 7, 29, 313. Prime factorization of 63539 in exponential form is:

63539 = 71 × 291 × 3131

Prime Factorization of 63550

Prime factors of 63550 are 2, 5, 31, 41. Prime factorization of 63550 in exponential form is:

63550 = 21 × 52 × 311 × 411

Now multiplying the highest exponent prime factors to calculate the LCM of 63539 and 63550.

LCM(63539,63550) = 71 × 291 × 3131 × 21 × 52 × 311 × 411
LCM(63539,63550) = 4037903450