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What is the Least Common Multiple of 16488 and 16507?

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 16488 and 16507 is 272167416.

LCM(16488,16507) = 272167416

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Least Common Multiple of 16488 and 16507 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 16488 and 16507, than apply into the LCM equation.

GCF(16488,16507) = 1
LCM(16488,16507) = ( 16488 × 16507) / 1
LCM(16488,16507) = 272167416 / 1
LCM(16488,16507) = 272167416

Least Common Multiple (LCM) of 16488 and 16507 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 16488 and 16507. First we will calculate the prime factors of 16488 and 16507.

Prime Factorization of 16488

Prime factors of 16488 are 2, 3, 229. Prime factorization of 16488 in exponential form is:

16488 = 23 × 32 × 2291

Prime Factorization of 16507

Prime factors of 16507 are 17, 971. Prime factorization of 16507 in exponential form is:

16507 = 171 × 9711

Now multiplying the highest exponent prime factors to calculate the LCM of 16488 and 16507.

LCM(16488,16507) = 23 × 32 × 2291 × 171 × 9711
LCM(16488,16507) = 272167416