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What is the Least Common Multiple of 16761 and 16772?

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 16761 and 16772 is 281115492.

LCM(16761,16772) = 281115492

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Least Common Multiple of 16761 and 16772 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 16761 and 16772, than apply into the LCM equation.

GCF(16761,16772) = 1
LCM(16761,16772) = ( 16761 × 16772) / 1
LCM(16761,16772) = 281115492 / 1
LCM(16761,16772) = 281115492

Least Common Multiple (LCM) of 16761 and 16772 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 16761 and 16772. First we will calculate the prime factors of 16761 and 16772.

Prime Factorization of 16761

Prime factors of 16761 are 3, 37, 151. Prime factorization of 16761 in exponential form is:

16761 = 31 × 371 × 1511

Prime Factorization of 16772

Prime factors of 16772 are 2, 7, 599. Prime factorization of 16772 in exponential form is:

16772 = 22 × 71 × 5991

Now multiplying the highest exponent prime factors to calculate the LCM of 16761 and 16772.

LCM(16761,16772) = 31 × 371 × 1511 × 22 × 71 × 5991
LCM(16761,16772) = 281115492