What is the Least Common Multiple of 11540 and 11560?

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 11540 and 11560 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 11540 and 11560, than apply into the LCM equation.

GCF(11540,11560) = 20
LCM(11540,11560) = ( 11540 × 11560) / 20
LCM(11540,11560) = 133402400 / 20
LCM(11540,11560) = 6670120

Least Common Multiple (LCM) of 11540 and 11560 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 11540 and 11560. First we will calculate the prime factors of 11540 and 11560.

Prime Factorization of 11540

Prime Factorization of 11560

Now multiplying the highest exponent prime factors to calculate the LCM of 11540 and 11560.

LCM(11540,11560) = 2³ × 5¹ × 577¹ × 17²
LCM(11540,11560) = 6670120