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What is the Least Common Multiple of 16798 and 16802?

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 16798 and 16802 is 141119998.

LCM(16798,16802) = 141119998

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Least Common Multiple of 16798 and 16802 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 16798 and 16802, than apply into the LCM equation.

GCF(16798,16802) = 2
LCM(16798,16802) = ( 16798 × 16802) / 2
LCM(16798,16802) = 282239996 / 2
LCM(16798,16802) = 141119998

Least Common Multiple (LCM) of 16798 and 16802 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 16798 and 16802. First we will calculate the prime factors of 16798 and 16802.

Prime Factorization of 16798

Prime factors of 16798 are 2, 37, 227. Prime factorization of 16798 in exponential form is:

16798 = 21 × 371 × 2271

Prime Factorization of 16802

Prime factors of 16802 are 2, 31, 271. Prime factorization of 16802 in exponential form is:

16802 = 21 × 311 × 2711

Now multiplying the highest exponent prime factors to calculate the LCM of 16798 and 16802.

LCM(16798,16802) = 21 × 371 × 2271 × 311 × 2711
LCM(16798,16802) = 141119998