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What is the Least Common Multiple of 16262 and 16272?

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 16262 and 16272 is 132307632.

LCM(16262,16272) = 132307632

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Least Common Multiple of 16262 and 16272 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 16262 and 16272, than apply into the LCM equation.

GCF(16262,16272) = 2
LCM(16262,16272) = ( 16262 × 16272) / 2
LCM(16262,16272) = 264615264 / 2
LCM(16262,16272) = 132307632

Least Common Multiple (LCM) of 16262 and 16272 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 16262 and 16272. First we will calculate the prime factors of 16262 and 16272.

Prime Factorization of 16262

Prime factors of 16262 are 2, 47, 173. Prime factorization of 16262 in exponential form is:

16262 = 21 × 471 × 1731

Prime Factorization of 16272

Prime factors of 16272 are 2, 3, 113. Prime factorization of 16272 in exponential form is:

16272 = 24 × 32 × 1131

Now multiplying the highest exponent prime factors to calculate the LCM of 16262 and 16272.

LCM(16262,16272) = 24 × 471 × 1731 × 32 × 1131
LCM(16262,16272) = 132307632