What is the Least Common Multiple of 56832 and 56849?

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 56832 and 56849 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 56832 and 56849, than apply into the LCM equation.

GCF(56832,56849) = 1
LCM(56832,56849) = ( 56832 × 56849) / 1
LCM(56832,56849) = 3230842368 / 1
LCM(56832,56849) = 3230842368

Least Common Multiple (LCM) of 56832 and 56849 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 56832 and 56849. First we will calculate the prime factors of 56832 and 56849.

Prime Factorization of 56832

Prime Factorization of 56849

Now multiplying the highest exponent prime factors to calculate the LCM of 56832 and 56849.

LCM(56832,56849) = 2⁹ × 3¹ × 37¹ × 13¹ × 4373¹
LCM(56832,56849) = 3230842368