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What is the Least Common Multiple of 63955 and 63973?

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 63955 and 63973 is 4091393215.

LCM(63955,63973) = 4091393215

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Least Common Multiple of 63955 and 63973 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 63955 and 63973, than apply into the LCM equation.

GCF(63955,63973) = 1
LCM(63955,63973) = ( 63955 × 63973) / 1
LCM(63955,63973) = 4091393215 / 1
LCM(63955,63973) = 4091393215

Least Common Multiple (LCM) of 63955 and 63973 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 63955 and 63973. First we will calculate the prime factors of 63955 and 63973.

Prime Factorization of 63955

Prime factors of 63955 are 5, 12791. Prime factorization of 63955 in exponential form is:

63955 = 51 × 127911

Prime Factorization of 63973

Prime factors of 63973 are 7, 13, 19, 37. Prime factorization of 63973 in exponential form is:

63973 = 71 × 131 × 191 × 371

Now multiplying the highest exponent prime factors to calculate the LCM of 63955 and 63973.

LCM(63955,63973) = 51 × 127911 × 71 × 131 × 191 × 371
LCM(63955,63973) = 4091393215