What is the Least Common Multiple of 54321 and 54340?

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 54321 and 54340 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 54321 and 54340, than apply into the LCM equation.

GCF(54321,54340) = 19
LCM(54321,54340) = ( 54321 × 54340) / 19
LCM(54321,54340) = 2951803140 / 19
LCM(54321,54340) = 155358060

Least Common Multiple (LCM) of 54321 and 54340 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 54321 and 54340. First we will calculate the prime factors of 54321 and 54340.

Prime Factorization of 54321

Prime Factorization of 54340

Now multiplying the highest exponent prime factors to calculate the LCM of 54321 and 54340.

LCM(54321,54340) = 3¹ × 19¹ × 953¹ × 2² × 5¹ × 11¹ × 13¹
LCM(54321,54340) = 155358060