GCF and LCM Calculator Logo

What is the Least Common Multiple of 9544 and 9560?

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 (LCM) of 9544 and 9560 is 11405080.

LCM(9544,9560) = 11405080

LCM Calculator and
and

Least Common Multiple of 9544 and 9560 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 9544 and 9560, than apply into the LCM equation.

GCF(9544,9560) = 8
LCM(9544,9560) = ( 9544 × 9560) / 8
LCM(9544,9560) = 91240640 / 8
LCM(9544,9560) = 11405080

Least Common Multiple (LCM) of 9544 and 9560 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 9544 and 9560. First we will calculate the prime factors of 9544 and 9560.

Prime Factorization of 9544

Prime factors of 9544 are 2, 1193. Prime factorization of 9544 in exponential form is:

9544 = 23 × 11931

Prime Factorization of 9560

Prime factors of 9560 are 2, 5, 239. Prime factorization of 9560 in exponential form is:

9560 = 23 × 51 × 2391

Now multiplying the highest exponent prime factors to calculate the LCM of 9544 and 9560.

LCM(9544,9560) = 23 × 11931 × 51 × 2391
LCM(9544,9560) = 11405080