What is the Least Common Multiple of 13488 and 13492?

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 of 13488 and 13492 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 13488 and 13492, than apply into the LCM equation.

GCF(13488,13492) = 4
LCM(13488,13492) = ( 13488 × 13492) / 4
LCM(13488,13492) = 181980096 / 4
LCM(13488,13492) = 45495024

Least Common Multiple (LCM) of 13488 and 13492 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 13488 and 13492. First we will calculate the prime factors of 13488 and 13492.

Prime Factorization of 13488

Prime Factorization of 13492

Now multiplying the highest exponent prime factors to calculate the LCM of 13488 and 13492.

LCM(13488,13492) = 2⁴ × 3¹ × 281¹ × 3373¹
LCM(13488,13492) = 45495024