What is the Least Common Multiple of 27872 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 of 27872 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 27872 and 27884, than apply into the LCM equation.

GCF(27872,27884) = 4
LCM(27872,27884) = ( 27872 × 27884) / 4
LCM(27872,27884) = 777182848 / 4
LCM(27872,27884) = 194295712

Least Common Multiple (LCM) of 27872 and 27884 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 27872 and 27884. First we will calculate the prime factors of 27872 and 27884.

Prime Factorization of 27872

Prime Factorization of 27884

Now multiplying the highest exponent prime factors to calculate the LCM of 27872 and 27884.

LCM(27872,27884) = 2⁵ × 13¹ × 67¹ × 6971¹
LCM(27872,27884) = 194295712