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What is the Least Common Multiple of 16796 and 16812?

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 16812 is 70593588.

LCM(16796,16812) = 70593588

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Least Common Multiple of 16796 and 16812 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 16812, than apply into the LCM equation.

GCF(16796,16812) = 4
LCM(16796,16812) = ( 16796 × 16812) / 4
LCM(16796,16812) = 282374352 / 4
LCM(16796,16812) = 70593588

Least Common Multiple (LCM) of 16796 and 16812 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 16796 and 16812. First we will calculate the prime factors of 16796 and 16812.

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 16812

Prime factors of 16812 are 2, 3, 467. Prime factorization of 16812 in exponential form is:

16812 = 22 × 32 × 4671

Now multiplying the highest exponent prime factors to calculate the LCM of 16796 and 16812.

LCM(16796,16812) = 22 × 131 × 171 × 191 × 32 × 4671
LCM(16796,16812) = 70593588