GCF and LCM Calculator Logo

What is the Least Common Multiple of 13073 and 13092?

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 13073 and 13092 is 171151716.

LCM(13073,13092) = 171151716

LCM Calculator and
and

Least Common Multiple of 13073 and 13092 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 13073 and 13092, than apply into the LCM equation.

GCF(13073,13092) = 1
LCM(13073,13092) = ( 13073 × 13092) / 1
LCM(13073,13092) = 171151716 / 1
LCM(13073,13092) = 171151716

Least Common Multiple (LCM) of 13073 and 13092 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 13073 and 13092. First we will calculate the prime factors of 13073 and 13092.

Prime Factorization of 13073

Prime factors of 13073 are 17, 769. Prime factorization of 13073 in exponential form is:

13073 = 171 × 7691

Prime Factorization of 13092

Prime factors of 13092 are 2, 3, 1091. Prime factorization of 13092 in exponential form is:

13092 = 22 × 31 × 10911

Now multiplying the highest exponent prime factors to calculate the LCM of 13073 and 13092.

LCM(13073,13092) = 171 × 7691 × 22 × 31 × 10911
LCM(13073,13092) = 171151716