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What is the Least Common Multiple of 21485 and 21491?

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 21485 and 21491 is 461734135.

LCM(21485,21491) = 461734135

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Least Common Multiple of 21485 and 21491 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 21485 and 21491, than apply into the LCM equation.

GCF(21485,21491) = 1
LCM(21485,21491) = ( 21485 × 21491) / 1
LCM(21485,21491) = 461734135 / 1
LCM(21485,21491) = 461734135

Least Common Multiple (LCM) of 21485 and 21491 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 21485 and 21491. First we will calculate the prime factors of 21485 and 21491.

Prime Factorization of 21485

Prime factors of 21485 are 5, 4297. Prime factorization of 21485 in exponential form is:

21485 = 51 × 42971

Prime Factorization of 21491

Prime factors of 21491 are 21491. Prime factorization of 21491 in exponential form is:

21491 = 214911

Now multiplying the highest exponent prime factors to calculate the LCM of 21485 and 21491.

LCM(21485,21491) = 51 × 42971 × 214911
LCM(21485,21491) = 461734135