What is the Least Common Multiple of 55119 and 55133?

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 55119 and 55133 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 55119 and 55133, than apply into the LCM equation.

GCF(55119,55133) = 1
LCM(55119,55133) = ( 55119 × 55133) / 1
LCM(55119,55133) = 3038875827 / 1
LCM(55119,55133) = 3038875827

Least Common Multiple (LCM) of 55119 and 55133 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 55119 and 55133. First we will calculate the prime factors of 55119 and 55133.

Prime Factorization of 55119

Prime Factorization of 55133

Now multiplying the highest exponent prime factors to calculate the LCM of 55119 and 55133.

LCM(55119,55133) = 3¹ × 19¹ × 967¹ × 13¹ × 4241¹
LCM(55119,55133) = 3038875827