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What is the Least Common Multiple of 16530 and 16548?

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 16530 and 16548 is 45589740.

LCM(16530,16548) = 45589740

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Least Common Multiple of 16530 and 16548 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 16530 and 16548, than apply into the LCM equation.

GCF(16530,16548) = 6
LCM(16530,16548) = ( 16530 × 16548) / 6
LCM(16530,16548) = 273538440 / 6
LCM(16530,16548) = 45589740

Least Common Multiple (LCM) of 16530 and 16548 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 16530 and 16548. First we will calculate the prime factors of 16530 and 16548.

Prime Factorization of 16530

Prime factors of 16530 are 2, 3, 5, 19, 29. Prime factorization of 16530 in exponential form is:

16530 = 21 × 31 × 51 × 191 × 291

Prime Factorization of 16548

Prime factors of 16548 are 2, 3, 7, 197. Prime factorization of 16548 in exponential form is:

16548 = 22 × 31 × 71 × 1971

Now multiplying the highest exponent prime factors to calculate the LCM of 16530 and 16548.

LCM(16530,16548) = 22 × 31 × 51 × 191 × 291 × 71 × 1971
LCM(16530,16548) = 45589740