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What is the Least Common Multiple of 16546 and 16557?

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 16546 and 16557 is 273952122.

LCM(16546,16557) = 273952122

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Least Common Multiple of 16546 and 16557 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 16546 and 16557, than apply into the LCM equation.

GCF(16546,16557) = 1
LCM(16546,16557) = ( 16546 × 16557) / 1
LCM(16546,16557) = 273952122 / 1
LCM(16546,16557) = 273952122

Least Common Multiple (LCM) of 16546 and 16557 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 16546 and 16557. First we will calculate the prime factors of 16546 and 16557.

Prime Factorization of 16546

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

16546 = 21 × 82731

Prime Factorization of 16557

Prime factors of 16557 are 3, 5519. Prime factorization of 16557 in exponential form is:

16557 = 31 × 55191

Now multiplying the highest exponent prime factors to calculate the LCM of 16546 and 16557.

LCM(16546,16557) = 21 × 82731 × 31 × 55191
LCM(16546,16557) = 273952122