What is the Least Common Multiple of 55348 and 55367?

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 55348 and 55367 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 55348 and 55367, than apply into the LCM equation.

GCF(55348,55367) = 1
LCM(55348,55367) = ( 55348 × 55367) / 1
LCM(55348,55367) = 3064452716 / 1
LCM(55348,55367) = 3064452716

Least Common Multiple (LCM) of 55348 and 55367 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 55348 and 55367. First we will calculate the prime factors of 55348 and 55367.

Prime Factorization of 55348

Prime Factorization of 55367

Now multiplying the highest exponent prime factors to calculate the LCM of 55348 and 55367.

LCM(55348,55367) = 2² × 101¹ × 137¹ × 13¹ × 4259¹
LCM(55348,55367) = 3064452716