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What is the Least Common Multiple of 16252 and 16266?

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 16252 and 16266 is 132177516.

LCM(16252,16266) = 132177516

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Least Common Multiple of 16252 and 16266 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 16252 and 16266, than apply into the LCM equation.

GCF(16252,16266) = 2
LCM(16252,16266) = ( 16252 × 16266) / 2
LCM(16252,16266) = 264355032 / 2
LCM(16252,16266) = 132177516

Least Common Multiple (LCM) of 16252 and 16266 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 16252 and 16266. First we will calculate the prime factors of 16252 and 16266.

Prime Factorization of 16252

Prime factors of 16252 are 2, 17, 239. Prime factorization of 16252 in exponential form is:

16252 = 22 × 171 × 2391

Prime Factorization of 16266

Prime factors of 16266 are 2, 3, 2711. Prime factorization of 16266 in exponential form is:

16266 = 21 × 31 × 27111

Now multiplying the highest exponent prime factors to calculate the LCM of 16252 and 16266.

LCM(16252,16266) = 22 × 171 × 2391 × 31 × 27111
LCM(16252,16266) = 132177516