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What is the Least Common Multiple of 16455 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 16455 and 16465 is 54186315.

LCM(16455,16465) = 54186315

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Least Common Multiple of 16455 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 16455 and 16465, than apply into the LCM equation.

GCF(16455,16465) = 5
LCM(16455,16465) = ( 16455 × 16465) / 5
LCM(16455,16465) = 270931575 / 5
LCM(16455,16465) = 54186315

Least Common Multiple (LCM) of 16455 and 16465 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 16455 and 16465. First we will calculate the prime factors of 16455 and 16465.

Prime Factorization of 16455

Prime factors of 16455 are 3, 5, 1097. Prime factorization of 16455 in exponential form is:

16455 = 31 × 51 × 10971

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 16455 and 16465.

LCM(16455,16465) = 31 × 51 × 10971 × 371 × 891
LCM(16455,16465) = 54186315