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What is the Least Common Multiple of 16366 and 16373?

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 16366 and 16373 is 38280074.

LCM(16366,16373) = 38280074

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Least Common Multiple of 16366 and 16373 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 16366 and 16373, than apply into the LCM equation.

GCF(16366,16373) = 7
LCM(16366,16373) = ( 16366 × 16373) / 7
LCM(16366,16373) = 267960518 / 7
LCM(16366,16373) = 38280074

Least Common Multiple (LCM) of 16366 and 16373 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 16366 and 16373. First we will calculate the prime factors of 16366 and 16373.

Prime Factorization of 16366

Prime factors of 16366 are 2, 7, 167. Prime factorization of 16366 in exponential form is:

16366 = 21 × 72 × 1671

Prime Factorization of 16373

Prime factors of 16373 are 7, 2339. Prime factorization of 16373 in exponential form is:

16373 = 71 × 23391

Now multiplying the highest exponent prime factors to calculate the LCM of 16366 and 16373.

LCM(16366,16373) = 21 × 72 × 1671 × 23391
LCM(16366,16373) = 38280074