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What is the Least Common Multiple of 63539 and 63551?

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 63551 is 4037966989.

LCM(63539,63551) = 4037966989

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Least Common Multiple of 63539 and 63551 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 63551, than apply into the LCM equation.

GCF(63539,63551) = 1
LCM(63539,63551) = ( 63539 × 63551) / 1
LCM(63539,63551) = 4037966989 / 1
LCM(63539,63551) = 4037966989

Least Common Multiple (LCM) of 63539 and 63551 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 63539 and 63551. First we will calculate the prime factors of 63539 and 63551.

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 63551

Prime factors of 63551 are 103, 617. Prime factorization of 63551 in exponential form is:

63551 = 1031 × 6171

Now multiplying the highest exponent prime factors to calculate the LCM of 63539 and 63551.

LCM(63539,63551) = 71 × 291 × 3131 × 1031 × 6171
LCM(63539,63551) = 4037966989