GCF and LCM Calculator Logo

What is the Least Common Multiple of 16366 and 16378?

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 16378 is 134021174.

LCM(16366,16378) = 134021174

LCM Calculator and
and

Least Common Multiple of 16366 and 16378 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 16378, than apply into the LCM equation.

GCF(16366,16378) = 2
LCM(16366,16378) = ( 16366 × 16378) / 2
LCM(16366,16378) = 268042348 / 2
LCM(16366,16378) = 134021174

Least Common Multiple (LCM) of 16366 and 16378 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 16366 and 16378. First we will calculate the prime factors of 16366 and 16378.

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 16378

Prime factors of 16378 are 2, 19, 431. Prime factorization of 16378 in exponential form is:

16378 = 21 × 191 × 4311

Now multiplying the highest exponent prime factors to calculate the LCM of 16366 and 16378.

LCM(16366,16378) = 21 × 72 × 1671 × 191 × 4311
LCM(16366,16378) = 134021174