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What is the Least Common Multiple of 16195 and 16211?

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 16195 and 16211 is 262537145.

LCM(16195,16211) = 262537145

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Least Common Multiple of 16195 and 16211 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 16195 and 16211, than apply into the LCM equation.

GCF(16195,16211) = 1
LCM(16195,16211) = ( 16195 × 16211) / 1
LCM(16195,16211) = 262537145 / 1
LCM(16195,16211) = 262537145

Least Common Multiple (LCM) of 16195 and 16211 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 16195 and 16211. First we will calculate the prime factors of 16195 and 16211.

Prime Factorization of 16195

Prime factors of 16195 are 5, 41, 79. Prime factorization of 16195 in exponential form is:

16195 = 51 × 411 × 791

Prime Factorization of 16211

Prime factors of 16211 are 13, 29, 43. Prime factorization of 16211 in exponential form is:

16211 = 131 × 291 × 431

Now multiplying the highest exponent prime factors to calculate the LCM of 16195 and 16211.

LCM(16195,16211) = 51 × 411 × 791 × 131 × 291 × 431
LCM(16195,16211) = 262537145