What is the Least Common Multiple of 54284 and 54302?

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 54284 and 54302 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 54284 and 54302, than apply into the LCM equation.

GCF(54284,54302) = 2
LCM(54284,54302) = ( 54284 × 54302) / 2
LCM(54284,54302) = 2947729768 / 2
LCM(54284,54302) = 1473864884

Least Common Multiple (LCM) of 54284 and 54302 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 54284 and 54302. First we will calculate the prime factors of 54284 and 54302.

Prime Factorization of 54284

Prime Factorization of 54302

Now multiplying the highest exponent prime factors to calculate the LCM of 54284 and 54302.

LCM(54284,54302) = 2² × 41¹ × 331¹ × 19¹ × 1429¹
LCM(54284,54302) = 1473864884