What is the Least Common Multiple of 13470 and 13488?

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 13470 and 13488 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 13470 and 13488, than apply into the LCM equation.

GCF(13470,13488) = 6
LCM(13470,13488) = ( 13470 × 13488) / 6
LCM(13470,13488) = 181683360 / 6
LCM(13470,13488) = 30280560

Least Common Multiple (LCM) of 13470 and 13488 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 13470 and 13488. First we will calculate the prime factors of 13470 and 13488.

Prime Factorization of 13470

Prime Factorization of 13488

Now multiplying the highest exponent prime factors to calculate the LCM of 13470 and 13488.

LCM(13470,13488) = 2⁴ × 3¹ × 5¹ × 449¹ × 281¹
LCM(13470,13488) = 30280560