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What is the Least Common Multiple of 63551 and 63558?

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 63558 is 4039174458.

LCM(63551,63558) = 4039174458

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Least Common Multiple of 63551 and 63558 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 63558, than apply into the LCM equation.

GCF(63551,63558) = 1
LCM(63551,63558) = ( 63551 × 63558) / 1
LCM(63551,63558) = 4039174458 / 1
LCM(63551,63558) = 4039174458

Least Common Multiple (LCM) of 63551 and 63558 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 63551 and 63558. First we will calculate the prime factors of 63551 and 63558.

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 63558

Prime factors of 63558 are 2, 3, 11, 107. Prime factorization of 63558 in exponential form is:

63558 = 21 × 33 × 111 × 1071

Now multiplying the highest exponent prime factors to calculate the LCM of 63551 and 63558.

LCM(63551,63558) = 1031 × 6171 × 21 × 33 × 111 × 1071
LCM(63551,63558) = 4039174458