What is the Least Common Multiple of 56832 and 56843?

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 56843 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 56843, than apply into the LCM equation.

GCF(56832,56843) = 1
LCM(56832,56843) = ( 56832 × 56843) / 1
LCM(56832,56843) = 3230501376 / 1
LCM(56832,56843) = 3230501376

Least Common Multiple (LCM) of 56832 and 56843 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 56832 and 56843. First we will calculate the prime factors of 56832 and 56843.

Prime Factorization of 56832

Prime Factorization of 56843

Now multiplying the highest exponent prime factors to calculate the LCM of 56832 and 56843.

LCM(56832,56843) = 2⁹ × 3¹ × 37¹ × 56843¹
LCM(56832,56843) = 3230501376