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What is the Least Common Multiple of 16796 and 16803?

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 16796 and 16803 is 282223188.

LCM(16796,16803) = 282223188

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Least Common Multiple of 16796 and 16803 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 16796 and 16803, than apply into the LCM equation.

GCF(16796,16803) = 1
LCM(16796,16803) = ( 16796 × 16803) / 1
LCM(16796,16803) = 282223188 / 1
LCM(16796,16803) = 282223188

Least Common Multiple (LCM) of 16796 and 16803 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 16796 and 16803. First we will calculate the prime factors of 16796 and 16803.

Prime Factorization of 16796

Prime factors of 16796 are 2, 13, 17, 19. Prime factorization of 16796 in exponential form is:

16796 = 22 × 131 × 171 × 191

Prime Factorization of 16803

Prime factors of 16803 are 3, 1867. Prime factorization of 16803 in exponential form is:

16803 = 32 × 18671

Now multiplying the highest exponent prime factors to calculate the LCM of 16796 and 16803.

LCM(16796,16803) = 22 × 131 × 171 × 191 × 32 × 18671
LCM(16796,16803) = 282223188