What is the Least Common Multiple of 28080 and 28096?

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 28080 and 28096 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 28080 and 28096, than apply into the LCM equation.

GCF(28080,28096) = 16
LCM(28080,28096) = ( 28080 × 28096) / 16
LCM(28080,28096) = 788935680 / 16
LCM(28080,28096) = 49308480

Least Common Multiple (LCM) of 28080 and 28096 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 28080 and 28096. First we will calculate the prime factors of 28080 and 28096.

Prime Factorization of 28080

Prime Factorization of 28096

Now multiplying the highest exponent prime factors to calculate the LCM of 28080 and 28096.

LCM(28080,28096) = 2⁶ × 3³ × 5¹ × 13¹ × 439¹
LCM(28080,28096) = 49308480