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What is the Least Common Multiple of 16530 and 16546?

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 16546 is 136752690.

LCM(16530,16546) = 136752690

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Least Common Multiple of 16530 and 16546 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 16546, than apply into the LCM equation.

GCF(16530,16546) = 2
LCM(16530,16546) = ( 16530 × 16546) / 2
LCM(16530,16546) = 273505380 / 2
LCM(16530,16546) = 136752690

Least Common Multiple (LCM) of 16530 and 16546 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 16530 and 16546. First we will calculate the prime factors of 16530 and 16546.

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 16546

Prime factors of 16546 are 2, 8273. Prime factorization of 16546 in exponential form is:

16546 = 21 × 82731

Now multiplying the highest exponent prime factors to calculate the LCM of 16530 and 16546.

LCM(16530,16546) = 21 × 31 × 51 × 191 × 291 × 82731
LCM(16530,16546) = 136752690