What is the Least Common Multiple of 11440 and 11460?

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 11440 and 11460 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 11440 and 11460, than apply into the LCM equation.

GCF(11440,11460) = 20
LCM(11440,11460) = ( 11440 × 11460) / 20
LCM(11440,11460) = 131102400 / 20
LCM(11440,11460) = 6555120

Least Common Multiple (LCM) of 11440 and 11460 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 11440 and 11460. First we will calculate the prime factors of 11440 and 11460.

Prime Factorization of 11440

Prime Factorization of 11460

Now multiplying the highest exponent prime factors to calculate the LCM of 11440 and 11460.

LCM(11440,11460) = 2⁴ × 5¹ × 11¹ × 13¹ × 3¹ × 191¹
LCM(11440,11460) = 6555120