GCF and LCM Calculator Logo

What is the Least Common Multiple of 13048 and 13066?

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 13048 and 13066 is 85242584.

LCM(13048,13066) = 85242584

LCM Calculator and
and

Least Common Multiple of 13048 and 13066 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 13048 and 13066, than apply into the LCM equation.

GCF(13048,13066) = 2
LCM(13048,13066) = ( 13048 × 13066) / 2
LCM(13048,13066) = 170485168 / 2
LCM(13048,13066) = 85242584

Least Common Multiple (LCM) of 13048 and 13066 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 13048 and 13066. First we will calculate the prime factors of 13048 and 13066.

Prime Factorization of 13048

Prime factors of 13048 are 2, 7, 233. Prime factorization of 13048 in exponential form is:

13048 = 23 × 71 × 2331

Prime Factorization of 13066

Prime factors of 13066 are 2, 47, 139. Prime factorization of 13066 in exponential form is:

13066 = 21 × 471 × 1391

Now multiplying the highest exponent prime factors to calculate the LCM of 13048 and 13066.

LCM(13048,13066) = 23 × 71 × 2331 × 471 × 1391
LCM(13048,13066) = 85242584