GCF and LCM Calculator Logo

What is the Least Common Multiple of 18880 and 18884?

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 18880 and 18884 is 89132480.

LCM(18880,18884) = 89132480

LCM Calculator and
and

Least Common Multiple of 18880 and 18884 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 18880 and 18884, than apply into the LCM equation.

GCF(18880,18884) = 4
LCM(18880,18884) = ( 18880 × 18884) / 4
LCM(18880,18884) = 356529920 / 4
LCM(18880,18884) = 89132480

Least Common Multiple (LCM) of 18880 and 18884 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 18880 and 18884. First we will calculate the prime factors of 18880 and 18884.

Prime Factorization of 18880

Prime factors of 18880 are 2, 5, 59. Prime factorization of 18880 in exponential form is:

18880 = 26 × 51 × 591

Prime Factorization of 18884

Prime factors of 18884 are 2, 4721. Prime factorization of 18884 in exponential form is:

18884 = 22 × 47211

Now multiplying the highest exponent prime factors to calculate the LCM of 18880 and 18884.

LCM(18880,18884) = 26 × 51 × 591 × 47211
LCM(18880,18884) = 89132480