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What is the Least Common Multiple of 16465 and 16470?

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 16465 and 16470 is 54235710.

LCM(16465,16470) = 54235710

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Least Common Multiple of 16465 and 16470 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 16465 and 16470, than apply into the LCM equation.

GCF(16465,16470) = 5
LCM(16465,16470) = ( 16465 × 16470) / 5
LCM(16465,16470) = 271178550 / 5
LCM(16465,16470) = 54235710

Least Common Multiple (LCM) of 16465 and 16470 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 16465 and 16470. First we will calculate the prime factors of 16465 and 16470.

Prime Factorization of 16465

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

16465 = 51 × 371 × 891

Prime Factorization of 16470

Prime factors of 16470 are 2, 3, 5, 61. Prime factorization of 16470 in exponential form is:

16470 = 21 × 33 × 51 × 611

Now multiplying the highest exponent prime factors to calculate the LCM of 16465 and 16470.

LCM(16465,16470) = 51 × 371 × 891 × 21 × 33 × 611
LCM(16465,16470) = 54235710