GCF and LCM Calculator Logo

What is the Least Common Multiple of 27516 and 27520?

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 27516 and 27520 is 189310080.

LCM(27516,27520) = 189310080

LCM Calculator and
and

Least Common Multiple of 27516 and 27520 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 27516 and 27520, than apply into the LCM equation.

GCF(27516,27520) = 4
LCM(27516,27520) = ( 27516 × 27520) / 4
LCM(27516,27520) = 757240320 / 4
LCM(27516,27520) = 189310080

Least Common Multiple (LCM) of 27516 and 27520 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 27516 and 27520. First we will calculate the prime factors of 27516 and 27520.

Prime Factorization of 27516

Prime factors of 27516 are 2, 3, 2293. Prime factorization of 27516 in exponential form is:

27516 = 22 × 31 × 22931

Prime Factorization of 27520

Prime factors of 27520 are 2, 5, 43. Prime factorization of 27520 in exponential form is:

27520 = 27 × 51 × 431

Now multiplying the highest exponent prime factors to calculate the LCM of 27516 and 27520.

LCM(27516,27520) = 27 × 31 × 22931 × 51 × 431
LCM(27516,27520) = 189310080