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What is the Least Common Multiple of 16153 and 16172?

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 16153 and 16172 is 261226316.

LCM(16153,16172) = 261226316

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Least Common Multiple of 16153 and 16172 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 16153 and 16172, than apply into the LCM equation.

GCF(16153,16172) = 1
LCM(16153,16172) = ( 16153 × 16172) / 1
LCM(16153,16172) = 261226316 / 1
LCM(16153,16172) = 261226316

Least Common Multiple (LCM) of 16153 and 16172 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 16153 and 16172. First we will calculate the prime factors of 16153 and 16172.

Prime Factorization of 16153

Prime factors of 16153 are 29, 557. Prime factorization of 16153 in exponential form is:

16153 = 291 × 5571

Prime Factorization of 16172

Prime factors of 16172 are 2, 13, 311. Prime factorization of 16172 in exponential form is:

16172 = 22 × 131 × 3111

Now multiplying the highest exponent prime factors to calculate the LCM of 16153 and 16172.

LCM(16153,16172) = 291 × 5571 × 22 × 131 × 3111
LCM(16153,16172) = 261226316