What is the Least Common Multiple of 15480 and 15496?

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 15480 and 15496 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 15480 and 15496, than apply into the LCM equation.

GCF(15480,15496) = 8
LCM(15480,15496) = ( 15480 × 15496) / 8
LCM(15480,15496) = 239878080 / 8
LCM(15480,15496) = 29984760

Least Common Multiple (LCM) of 15480 and 15496 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 15480 and 15496. First we will calculate the prime factors of 15480 and 15496.

Prime Factorization of 15480

Prime Factorization of 15496

Now multiplying the highest exponent prime factors to calculate the LCM of 15480 and 15496.

LCM(15480,15496) = 2³ × 3² × 5¹ × 43¹ × 13¹ × 149¹
LCM(15480,15496) = 29984760