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What is the Least Common Multiple of 63985 and 63993?

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 63985 and 63993 is 4094592105.

LCM(63985,63993) = 4094592105

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Least Common Multiple of 63985 and 63993 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 63985 and 63993, than apply into the LCM equation.

GCF(63985,63993) = 1
LCM(63985,63993) = ( 63985 × 63993) / 1
LCM(63985,63993) = 4094592105 / 1
LCM(63985,63993) = 4094592105

Least Common Multiple (LCM) of 63985 and 63993 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 63985 and 63993. First we will calculate the prime factors of 63985 and 63993.

Prime Factorization of 63985

Prime factors of 63985 are 5, 67, 191. Prime factorization of 63985 in exponential form is:

63985 = 51 × 671 × 1911

Prime Factorization of 63993

Prime factors of 63993 are 3, 83, 257. Prime factorization of 63993 in exponential form is:

63993 = 31 × 831 × 2571

Now multiplying the highest exponent prime factors to calculate the LCM of 63985 and 63993.

LCM(63985,63993) = 51 × 671 × 1911 × 31 × 831 × 2571
LCM(63985,63993) = 4094592105