What is the Least Common Multiple of 55833 and 55848?

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 55833 and 55848 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 55833 and 55848, than apply into the LCM equation.

GCF(55833,55848) = 3
LCM(55833,55848) = ( 55833 × 55848) / 3
LCM(55833,55848) = 3118161384 / 3
LCM(55833,55848) = 1039387128

Least Common Multiple (LCM) of 55833 and 55848 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 55833 and 55848. First we will calculate the prime factors of 55833 and 55848.

Prime Factorization of 55833

Prime Factorization of 55848

Now multiplying the highest exponent prime factors to calculate the LCM of 55833 and 55848.

LCM(55833,55848) = 3¹ × 37¹ × 503¹ × 2³ × 13¹ × 179¹
LCM(55833,55848) = 1039387128