What is the Least Common Multiple of 56849 and 56856?

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 56849 and 56856 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 56849 and 56856, than apply into the LCM equation.

GCF(56849,56856) = 1
LCM(56849,56856) = ( 56849 × 56856) / 1
LCM(56849,56856) = 3232206744 / 1
LCM(56849,56856) = 3232206744

Least Common Multiple (LCM) of 56849 and 56856 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 56849 and 56856. First we will calculate the prime factors of 56849 and 56856.

Prime Factorization of 56849

Prime Factorization of 56856

Now multiplying the highest exponent prime factors to calculate the LCM of 56849 and 56856.

LCM(56849,56856) = 13¹ × 4373¹ × 2³ × 3¹ × 23¹ × 103¹
LCM(56849,56856) = 3232206744