What is the Least Common Multiple of 54444 and 54457?

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 54444 and 54457 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 54444 and 54457, than apply into the LCM equation.

GCF(54444,54457) = 13
LCM(54444,54457) = ( 54444 × 54457) / 13
LCM(54444,54457) = 2964856908 / 13
LCM(54444,54457) = 228065916

Least Common Multiple (LCM) of 54444 and 54457 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 54444 and 54457. First we will calculate the prime factors of 54444 and 54457.

Prime Factorization of 54444

Prime Factorization of 54457

Now multiplying the highest exponent prime factors to calculate the LCM of 54444 and 54457.

LCM(54444,54457) = 2² × 3¹ × 13¹ × 349¹ × 59¹ × 71¹
LCM(54444,54457) = 228065916