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What is the Least Common Multiple of 16770 and 16774?

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 16770 and 16774 is 140649990.

LCM(16770,16774) = 140649990

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Least Common Multiple of 16770 and 16774 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 16770 and 16774, than apply into the LCM equation.

GCF(16770,16774) = 2
LCM(16770,16774) = ( 16770 × 16774) / 2
LCM(16770,16774) = 281299980 / 2
LCM(16770,16774) = 140649990

Least Common Multiple (LCM) of 16770 and 16774 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 16770 and 16774. First we will calculate the prime factors of 16770 and 16774.

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

Prime Factorization of 16774

Prime factors of 16774 are 2, 8387. Prime factorization of 16774 in exponential form is:

16774 = 21 × 83871

Now multiplying the highest exponent prime factors to calculate the LCM of 16770 and 16774.

LCM(16770,16774) = 21 × 31 × 51 × 131 × 431 × 83871
LCM(16770,16774) = 140649990