GCF and LCM Calculator Logo

What is the Least Common Multiple of 27880 and 27884?

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 27880 and 27884 is 194351480.

LCM(27880,27884) = 194351480

LCM Calculator and
and

Least Common Multiple of 27880 and 27884 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 27880 and 27884, than apply into the LCM equation.

GCF(27880,27884) = 4
LCM(27880,27884) = ( 27880 × 27884) / 4
LCM(27880,27884) = 777405920 / 4
LCM(27880,27884) = 194351480

Least Common Multiple (LCM) of 27880 and 27884 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 27880 and 27884. First we will calculate the prime factors of 27880 and 27884.

Prime Factorization of 27880

Prime factors of 27880 are 2, 5, 17, 41. Prime factorization of 27880 in exponential form is:

27880 = 23 × 51 × 171 × 411

Prime Factorization of 27884

Prime factors of 27884 are 2, 6971. Prime factorization of 27884 in exponential form is:

27884 = 22 × 69711

Now multiplying the highest exponent prime factors to calculate the LCM of 27880 and 27884.

LCM(27880,27884) = 23 × 51 × 171 × 411 × 69711
LCM(27880,27884) = 194351480