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What is the Least Common Multiple of 63551 and 63562?

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 63551 and 63562 is 4039428662.

LCM(63551,63562) = 4039428662

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Least Common Multiple of 63551 and 63562 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 63551 and 63562, than apply into the LCM equation.

GCF(63551,63562) = 1
LCM(63551,63562) = ( 63551 × 63562) / 1
LCM(63551,63562) = 4039428662 / 1
LCM(63551,63562) = 4039428662

Least Common Multiple (LCM) of 63551 and 63562 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 63551 and 63562. First we will calculate the prime factors of 63551 and 63562.

Prime Factorization of 63551

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

63551 = 1031 × 6171

Prime Factorization of 63562

Prime factors of 63562 are 2, 61, 521. Prime factorization of 63562 in exponential form is:

63562 = 21 × 611 × 5211

Now multiplying the highest exponent prime factors to calculate the LCM of 63551 and 63562.

LCM(63551,63562) = 1031 × 6171 × 21 × 611 × 5211
LCM(63551,63562) = 4039428662