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What is the Least Common Multiple of 16826 and 16836?

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 16826 and 16836 is 141641268.

LCM(16826,16836) = 141641268

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Least Common Multiple of 16826 and 16836 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 16826 and 16836, than apply into the LCM equation.

GCF(16826,16836) = 2
LCM(16826,16836) = ( 16826 × 16836) / 2
LCM(16826,16836) = 283282536 / 2
LCM(16826,16836) = 141641268

Least Common Multiple (LCM) of 16826 and 16836 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 16826 and 16836. First we will calculate the prime factors of 16826 and 16836.

Prime Factorization of 16826

Prime factors of 16826 are 2, 47, 179. Prime factorization of 16826 in exponential form is:

16826 = 21 × 471 × 1791

Prime Factorization of 16836

Prime factors of 16836 are 2, 3, 23, 61. Prime factorization of 16836 in exponential form is:

16836 = 22 × 31 × 231 × 611

Now multiplying the highest exponent prime factors to calculate the LCM of 16826 and 16836.

LCM(16826,16836) = 22 × 471 × 1791 × 31 × 231 × 611
LCM(16826,16836) = 141641268