GCF and LCM Calculator Logo

What is the Least Common Multiple of 16034 and 16054?

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 16034 and 16054 is 128704918.

LCM(16034,16054) = 128704918

LCM Calculator and
and

Least Common Multiple of 16034 and 16054 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 16034 and 16054, than apply into the LCM equation.

GCF(16034,16054) = 2
LCM(16034,16054) = ( 16034 × 16054) / 2
LCM(16034,16054) = 257409836 / 2
LCM(16034,16054) = 128704918

Least Common Multiple (LCM) of 16034 and 16054 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 16034 and 16054. First we will calculate the prime factors of 16034 and 16054.

Prime Factorization of 16034

Prime factors of 16034 are 2, 8017. Prime factorization of 16034 in exponential form is:

16034 = 21 × 80171

Prime Factorization of 16054

Prime factors of 16054 are 2, 23, 349. Prime factorization of 16054 in exponential form is:

16054 = 21 × 231 × 3491

Now multiplying the highest exponent prime factors to calculate the LCM of 16034 and 16054.

LCM(16034,16054) = 21 × 80171 × 231 × 3491
LCM(16034,16054) = 128704918