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What is the Least Common Multiple of 63538 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 63538 and 63551 is 4037903438.

LCM(63538,63551) = 4037903438

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Least Common Multiple of 63538 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 63538 and 63551, than apply into the LCM equation.

GCF(63538,63551) = 1
LCM(63538,63551) = ( 63538 × 63551) / 1
LCM(63538,63551) = 4037903438 / 1
LCM(63538,63551) = 4037903438

Least Common Multiple (LCM) of 63538 and 63551 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 63538 and 63551. First we will calculate the prime factors of 63538 and 63551.

Prime Factorization of 63538

Prime factors of 63538 are 2, 31769. Prime factorization of 63538 in exponential form is:

63538 = 21 × 317691

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 63538 and 63551.

LCM(63538,63551) = 21 × 317691 × 1031 × 6171
LCM(63538,63551) = 4037903438