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What is the Least Common Multiple of 16190 and 16205?

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 16190 and 16205 is 52471790.

LCM(16190,16205) = 52471790

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Least Common Multiple of 16190 and 16205 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 16190 and 16205, than apply into the LCM equation.

GCF(16190,16205) = 5
LCM(16190,16205) = ( 16190 × 16205) / 5
LCM(16190,16205) = 262358950 / 5
LCM(16190,16205) = 52471790

Least Common Multiple (LCM) of 16190 and 16205 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 16190 and 16205. First we will calculate the prime factors of 16190 and 16205.

Prime Factorization of 16190

Prime factors of 16190 are 2, 5, 1619. Prime factorization of 16190 in exponential form is:

16190 = 21 × 51 × 16191

Prime Factorization of 16205

Prime factors of 16205 are 5, 7, 463. Prime factorization of 16205 in exponential form is:

16205 = 51 × 71 × 4631

Now multiplying the highest exponent prime factors to calculate the LCM of 16190 and 16205.

LCM(16190,16205) = 21 × 51 × 16191 × 71 × 4631
LCM(16190,16205) = 52471790