GCF and LCM Calculator Logo

What is the Least Common Multiple of 16040 and 16046?

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 16040 and 16046 is 128688920.

LCM(16040,16046) = 128688920

LCM Calculator and
and

Least Common Multiple of 16040 and 16046 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 16040 and 16046, than apply into the LCM equation.

GCF(16040,16046) = 2
LCM(16040,16046) = ( 16040 × 16046) / 2
LCM(16040,16046) = 257377840 / 2
LCM(16040,16046) = 128688920

Least Common Multiple (LCM) of 16040 and 16046 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 16040 and 16046. First we will calculate the prime factors of 16040 and 16046.

Prime Factorization of 16040

Prime factors of 16040 are 2, 5, 401. Prime factorization of 16040 in exponential form is:

16040 = 23 × 51 × 4011

Prime Factorization of 16046

Prime factors of 16046 are 2, 71, 113. Prime factorization of 16046 in exponential form is:

16046 = 21 × 711 × 1131

Now multiplying the highest exponent prime factors to calculate the LCM of 16040 and 16046.

LCM(16040,16046) = 23 × 51 × 4011 × 711 × 1131
LCM(16040,16046) = 128688920