What is the Least Common Multiple of 55131 and 55149?

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 55131 and 55149 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 55131 and 55149, than apply into the LCM equation.

GCF(55131,55149) = 3
LCM(55131,55149) = ( 55131 × 55149) / 3
LCM(55131,55149) = 3040419519 / 3
LCM(55131,55149) = 1013473173

Least Common Multiple (LCM) of 55131 and 55149 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 55131 and 55149. First we will calculate the prime factors of 55131 and 55149.

Prime Factorization of 55131

Prime Factorization of 55149

Now multiplying the highest exponent prime factors to calculate the LCM of 55131 and 55149.

LCM(55131,55149) = 3¹ × 17¹ × 23¹ × 47¹ × 31¹ × 593¹
LCM(55131,55149) = 1013473173