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What is the Least Common Multiple of 16780 and 16784?

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 16780 and 16784 is 70408880.

LCM(16780,16784) = 70408880

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Least Common Multiple of 16780 and 16784 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 16780 and 16784, than apply into the LCM equation.

GCF(16780,16784) = 4
LCM(16780,16784) = ( 16780 × 16784) / 4
LCM(16780,16784) = 281635520 / 4
LCM(16780,16784) = 70408880

Least Common Multiple (LCM) of 16780 and 16784 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 16780 and 16784. First we will calculate the prime factors of 16780 and 16784.

Prime Factorization of 16780

Prime factors of 16780 are 2, 5, 839. Prime factorization of 16780 in exponential form is:

16780 = 22 × 51 × 8391

Prime Factorization of 16784

Prime factors of 16784 are 2, 1049. Prime factorization of 16784 in exponential form is:

16784 = 24 × 10491

Now multiplying the highest exponent prime factors to calculate the LCM of 16780 and 16784.

LCM(16780,16784) = 24 × 51 × 8391 × 10491
LCM(16780,16784) = 70408880