What is the Least Common Multiple of 27840 and 27856?

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 27840 and 27856 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 27840 and 27856, than apply into the LCM equation.

GCF(27840,27856) = 16
LCM(27840,27856) = ( 27840 × 27856) / 16
LCM(27840,27856) = 775511040 / 16
LCM(27840,27856) = 48469440

Least Common Multiple (LCM) of 27840 and 27856 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 27840 and 27856. First we will calculate the prime factors of 27840 and 27856.

Prime Factorization of 27840

Prime Factorization of 27856

Now multiplying the highest exponent prime factors to calculate the LCM of 27840 and 27856.

LCM(27840,27856) = 2⁶ × 3¹ × 5¹ × 29¹ × 1741¹
LCM(27840,27856) = 48469440