GCF and LCM Calculator Logo

What is the Least Common Multiple of 11570 and 11580?

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 11570 and 11580 is 13398060.

LCM(11570,11580) = 13398060

LCM Calculator and
and

Least Common Multiple of 11570 and 11580 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 11570 and 11580, than apply into the LCM equation.

GCF(11570,11580) = 10
LCM(11570,11580) = ( 11570 × 11580) / 10
LCM(11570,11580) = 133980600 / 10
LCM(11570,11580) = 13398060

Least Common Multiple (LCM) of 11570 and 11580 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 11570 and 11580. First we will calculate the prime factors of 11570 and 11580.

Prime Factorization of 11570

Prime factors of 11570 are 2, 5, 13, 89. Prime factorization of 11570 in exponential form is:

11570 = 21 × 51 × 131 × 891

Prime Factorization of 11580

Prime factors of 11580 are 2, 3, 5, 193. Prime factorization of 11580 in exponential form is:

11580 = 22 × 31 × 51 × 1931

Now multiplying the highest exponent prime factors to calculate the LCM of 11570 and 11580.

LCM(11570,11580) = 22 × 51 × 131 × 891 × 31 × 1931
LCM(11570,11580) = 13398060