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What is the Least Common Multiple of 16766 and 16770?

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 16766 and 16770 is 140582910.

LCM(16766,16770) = 140582910

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Least Common Multiple of 16766 and 16770 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 16766 and 16770, than apply into the LCM equation.

GCF(16766,16770) = 2
LCM(16766,16770) = ( 16766 × 16770) / 2
LCM(16766,16770) = 281165820 / 2
LCM(16766,16770) = 140582910

Least Common Multiple (LCM) of 16766 and 16770 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 16766 and 16770. First we will calculate the prime factors of 16766 and 16770.

Prime Factorization of 16766

Prime factors of 16766 are 2, 83, 101. Prime factorization of 16766 in exponential form is:

16766 = 21 × 831 × 1011

Prime Factorization of 16770

Prime factors of 16770 are 2, 3, 5, 13, 43. Prime factorization of 16770 in exponential form is:

16770 = 21 × 31 × 51 × 131 × 431

Now multiplying the highest exponent prime factors to calculate the LCM of 16766 and 16770.

LCM(16766,16770) = 21 × 831 × 1011 × 31 × 51 × 131 × 431
LCM(16766,16770) = 140582910