What is the Least Common Multiple of 55869 and 55873?

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 55869 and 55873 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 55869 and 55873, than apply into the LCM equation.

GCF(55869,55873) = 1
LCM(55869,55873) = ( 55869 × 55873) / 1
LCM(55869,55873) = 3121568637 / 1
LCM(55869,55873) = 3121568637

Least Common Multiple (LCM) of 55869 and 55873 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 55869 and 55873. First we will calculate the prime factors of 55869 and 55873.

Prime Factorization of 55869

Prime Factorization of 55873

Now multiplying the highest exponent prime factors to calculate the LCM of 55869 and 55873.

LCM(55869,55873) = 3¹ × 11¹ × 1693¹ × 59¹ × 947¹
LCM(55869,55873) = 3121568637