GCF and LCM Calculator Logo

What is the Least Common Multiple of 13453 and 13469?

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 13453 and 13469 is 181198457.

LCM(13453,13469) = 181198457

LCM Calculator and
and

Least Common Multiple of 13453 and 13469 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 13453 and 13469, than apply into the LCM equation.

GCF(13453,13469) = 1
LCM(13453,13469) = ( 13453 × 13469) / 1
LCM(13453,13469) = 181198457 / 1
LCM(13453,13469) = 181198457

Least Common Multiple (LCM) of 13453 and 13469 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 13453 and 13469. First we will calculate the prime factors of 13453 and 13469.

Prime Factorization of 13453

Prime factors of 13453 are 11, 1223. Prime factorization of 13453 in exponential form is:

13453 = 111 × 12231

Prime Factorization of 13469

Prime factors of 13469 are 13469. Prime factorization of 13469 in exponential form is:

13469 = 134691

Now multiplying the highest exponent prime factors to calculate the LCM of 13453 and 13469.

LCM(13453,13469) = 111 × 12231 × 134691
LCM(13453,13469) = 181198457