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What is the Least Common Multiple of 63551 and 63560?

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 63560 is 4039301560.

LCM(63551,63560) = 4039301560

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Least Common Multiple of 63551 and 63560 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 63560, than apply into the LCM equation.

GCF(63551,63560) = 1
LCM(63551,63560) = ( 63551 × 63560) / 1
LCM(63551,63560) = 4039301560 / 1
LCM(63551,63560) = 4039301560

Least Common Multiple (LCM) of 63551 and 63560 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 63551 and 63560. First we will calculate the prime factors of 63551 and 63560.

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 63560

Prime factors of 63560 are 2, 5, 7, 227. Prime factorization of 63560 in exponential form is:

63560 = 23 × 51 × 71 × 2271

Now multiplying the highest exponent prime factors to calculate the LCM of 63551 and 63560.

LCM(63551,63560) = 1031 × 6171 × 23 × 51 × 71 × 2271
LCM(63551,63560) = 4039301560