What is the Least Common Multiple of 11420 and 11440?

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 11420 and 11440 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 11420 and 11440, than apply into the LCM equation.

GCF(11420,11440) = 20
LCM(11420,11440) = ( 11420 × 11440) / 20
LCM(11420,11440) = 130644800 / 20
LCM(11420,11440) = 6532240

Least Common Multiple (LCM) of 11420 and 11440 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 11420 and 11440. First we will calculate the prime factors of 11420 and 11440.

Prime Factorization of 11420

Prime Factorization of 11440

Now multiplying the highest exponent prime factors to calculate the LCM of 11420 and 11440.

LCM(11420,11440) = 2⁴ × 5¹ × 571¹ × 11¹ × 13¹
LCM(11420,11440) = 6532240