What is the Least Common Multiple of 55824 and 55831?

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 55824 and 55831 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 55824 and 55831, than apply into the LCM equation.

GCF(55824,55831) = 1
LCM(55824,55831) = ( 55824 × 55831) / 1
LCM(55824,55831) = 3116709744 / 1
LCM(55824,55831) = 3116709744

Least Common Multiple (LCM) of 55824 and 55831 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 55824 and 55831. First we will calculate the prime factors of 55824 and 55831.

Prime Factorization of 55824

Prime Factorization of 55831

Now multiplying the highest exponent prime factors to calculate the LCM of 55824 and 55831.

LCM(55824,55831) = 2⁴ × 3¹ × 1163¹ × 31¹ × 1801¹
LCM(55824,55831) = 3116709744