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What is the Least Common Multiple of 26993 and 27001?

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 26993 and 27001 is 728837993.

LCM(26993,27001) = 728837993

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Least Common Multiple of 26993 and 27001 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 26993 and 27001, than apply into the LCM equation.

GCF(26993,27001) = 1
LCM(26993,27001) = ( 26993 × 27001) / 1
LCM(26993,27001) = 728837993 / 1
LCM(26993,27001) = 728837993

Least Common Multiple (LCM) of 26993 and 27001 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 26993 and 27001. First we will calculate the prime factors of 26993 and 27001.

Prime Factorization of 26993

Prime factors of 26993 are 26993. Prime factorization of 26993 in exponential form is:

26993 = 269931

Prime Factorization of 27001

Prime factors of 27001 are 13, 31, 67. Prime factorization of 27001 in exponential form is:

27001 = 131 × 311 × 671

Now multiplying the highest exponent prime factors to calculate the LCM of 26993 and 27001.

LCM(26993,27001) = 269931 × 131 × 311 × 671
LCM(26993,27001) = 728837993