What is the Least Common Multiple of 54942 and 54949?

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 54942 and 54949 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 54942 and 54949, than apply into the LCM equation.

GCF(54942,54949) = 1
LCM(54942,54949) = ( 54942 × 54949) / 1
LCM(54942,54949) = 3019007958 / 1
LCM(54942,54949) = 3019007958

Least Common Multiple (LCM) of 54942 and 54949 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 54942 and 54949. First we will calculate the prime factors of 54942 and 54949.

Prime Factorization of 54942

Prime Factorization of 54949

Now multiplying the highest exponent prime factors to calculate the LCM of 54942 and 54949.

LCM(54942,54949) = 2¹ × 3¹ × 9157¹ × 54949¹
LCM(54942,54949) = 3019007958