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What is the Least Common Multiple of 63655 and 63661?

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 63655 and 63661 is 4052340955.

LCM(63655,63661) = 4052340955

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Least Common Multiple of 63655 and 63661 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 63655 and 63661, than apply into the LCM equation.

GCF(63655,63661) = 1
LCM(63655,63661) = ( 63655 × 63661) / 1
LCM(63655,63661) = 4052340955 / 1
LCM(63655,63661) = 4052340955

Least Common Multiple (LCM) of 63655 and 63661 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 63655 and 63661. First we will calculate the prime factors of 63655 and 63661.

Prime Factorization of 63655

Prime factors of 63655 are 5, 29, 439. Prime factorization of 63655 in exponential form is:

63655 = 51 × 291 × 4391

Prime Factorization of 63661

Prime factors of 63661 are 13, 59, 83. Prime factorization of 63661 in exponential form is:

63661 = 131 × 591 × 831

Now multiplying the highest exponent prime factors to calculate the LCM of 63655 and 63661.

LCM(63655,63661) = 51 × 291 × 4391 × 131 × 591 × 831
LCM(63655,63661) = 4052340955