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What is the Least Common Multiple of 16226 and 16240?

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 16226 and 16240 is 18822160.

LCM(16226,16240) = 18822160

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Least Common Multiple of 16226 and 16240 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 16226 and 16240, than apply into the LCM equation.

GCF(16226,16240) = 14
LCM(16226,16240) = ( 16226 × 16240) / 14
LCM(16226,16240) = 263510240 / 14
LCM(16226,16240) = 18822160

Least Common Multiple (LCM) of 16226 and 16240 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 16226 and 16240. First we will calculate the prime factors of 16226 and 16240.

Prime Factorization of 16226

Prime factors of 16226 are 2, 7, 19, 61. Prime factorization of 16226 in exponential form is:

16226 = 21 × 71 × 191 × 611

Prime Factorization of 16240

Prime factors of 16240 are 2, 5, 7, 29. Prime factorization of 16240 in exponential form is:

16240 = 24 × 51 × 71 × 291

Now multiplying the highest exponent prime factors to calculate the LCM of 16226 and 16240.

LCM(16226,16240) = 24 × 71 × 191 × 611 × 51 × 291
LCM(16226,16240) = 18822160