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What is the Least Common Multiple of 64991 and 65001?

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 64991 and 65001 is 4224479991.

LCM(64991,65001) = 4224479991

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Least Common Multiple of 64991 and 65001 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 64991 and 65001, than apply into the LCM equation.

GCF(64991,65001) = 1
LCM(64991,65001) = ( 64991 × 65001) / 1
LCM(64991,65001) = 4224479991 / 1
LCM(64991,65001) = 4224479991

Least Common Multiple (LCM) of 64991 and 65001 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 64991 and 65001. First we will calculate the prime factors of 64991 and 65001.

Prime Factorization of 64991

Prime factors of 64991 are 17, 3823. Prime factorization of 64991 in exponential form is:

64991 = 171 × 38231

Prime Factorization of 65001

Prime factors of 65001 are 3, 47, 461. Prime factorization of 65001 in exponential form is:

65001 = 31 × 471 × 4611

Now multiplying the highest exponent prime factors to calculate the LCM of 64991 and 65001.

LCM(64991,65001) = 171 × 38231 × 31 × 471 × 4611
LCM(64991,65001) = 4224479991