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What is the Least Common Multiple of 16263 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 16263 and 16272 is 29403504.

LCM(16263,16272) = 29403504

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Least Common Multiple of 16263 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 16263 and 16272, than apply into the LCM equation.

GCF(16263,16272) = 9
LCM(16263,16272) = ( 16263 × 16272) / 9
LCM(16263,16272) = 264631536 / 9
LCM(16263,16272) = 29403504

Least Common Multiple (LCM) of 16263 and 16272 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 16263 and 16272. First we will calculate the prime factors of 16263 and 16272.

Prime Factorization of 16263

Prime factors of 16263 are 3, 13, 139. Prime factorization of 16263 in exponential form is:

16263 = 32 × 131 × 1391

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 16263 and 16272.

LCM(16263,16272) = 32 × 131 × 1391 × 24 × 1131
LCM(16263,16272) = 29403504