What is the Least Common Multiple of 27872 and 27890?

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 27890 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 27890, than apply into the LCM equation.

GCF(27872,27890) = 2
LCM(27872,27890) = ( 27872 × 27890) / 2
LCM(27872,27890) = 777350080 / 2
LCM(27872,27890) = 388675040

Least Common Multiple (LCM) of 27872 and 27890 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 27872 and 27890. First we will calculate the prime factors of 27872 and 27890.

Prime Factorization of 27872

Prime Factorization of 27890

Now multiplying the highest exponent prime factors to calculate the LCM of 27872 and 27890.

LCM(27872,27890) = 2⁵ × 13¹ × 67¹ × 5¹ × 2789¹
LCM(27872,27890) = 388675040