What is the Least Common Multiple of 11280 and 11298?

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 11280 and 11298 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 11280 and 11298, than apply into the LCM equation.

GCF(11280,11298) = 6
LCM(11280,11298) = ( 11280 × 11298) / 6
LCM(11280,11298) = 127441440 / 6
LCM(11280,11298) = 21240240

Least Common Multiple (LCM) of 11280 and 11298 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 11280 and 11298. First we will calculate the prime factors of 11280 and 11298.

Prime Factorization of 11280

Prime Factorization of 11298

Now multiplying the highest exponent prime factors to calculate the LCM of 11280 and 11298.

LCM(11280,11298) = 2⁴ × 3¹ × 5¹ × 47¹ × 7¹ × 269¹
LCM(11280,11298) = 21240240