What is the Least Common Multiple of 11340 and 11360?

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 11340 and 11360 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 11340 and 11360, than apply into the LCM equation.

GCF(11340,11360) = 20
LCM(11340,11360) = ( 11340 × 11360) / 20
LCM(11340,11360) = 128822400 / 20
LCM(11340,11360) = 6441120

Least Common Multiple (LCM) of 11340 and 11360 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 11340 and 11360. First we will calculate the prime factors of 11340 and 11360.

Prime Factorization of 11340

Prime Factorization of 11360

Now multiplying the highest exponent prime factors to calculate the LCM of 11340 and 11360.

LCM(11340,11360) = 2⁵ × 3⁴ × 5¹ × 7¹ × 71¹
LCM(11340,11360) = 6441120