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What is the Least Common Multiple of 16461 and 16465?

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 16461 and 16465 is 271030365.

LCM(16461,16465) = 271030365

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Least Common Multiple of 16461 and 16465 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 16461 and 16465, than apply into the LCM equation.

GCF(16461,16465) = 1
LCM(16461,16465) = ( 16461 × 16465) / 1
LCM(16461,16465) = 271030365 / 1
LCM(16461,16465) = 271030365

Least Common Multiple (LCM) of 16461 and 16465 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 16461 and 16465. First we will calculate the prime factors of 16461 and 16465.

Prime Factorization of 16461

Prime factors of 16461 are 3, 31, 59. Prime factorization of 16461 in exponential form is:

16461 = 32 × 311 × 591

Prime Factorization of 16465

Prime factors of 16465 are 5, 37, 89. Prime factorization of 16465 in exponential form is:

16465 = 51 × 371 × 891

Now multiplying the highest exponent prime factors to calculate the LCM of 16461 and 16465.

LCM(16461,16465) = 32 × 311 × 591 × 51 × 371 × 891
LCM(16461,16465) = 271030365