What is the Least Common Multiple of 54782 and 54799?

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 54782 and 54799 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 54782 and 54799, than apply into the LCM equation.

GCF(54782,54799) = 1
LCM(54782,54799) = ( 54782 × 54799) / 1
LCM(54782,54799) = 3001998818 / 1
LCM(54782,54799) = 3001998818

Least Common Multiple (LCM) of 54782 and 54799 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 54782 and 54799. First we will calculate the prime factors of 54782 and 54799.

Prime Factorization of 54782

Prime Factorization of 54799

Now multiplying the highest exponent prime factors to calculate the LCM of 54782 and 54799.

LCM(54782,54799) = 2¹ × 7² × 13¹ × 43¹ × 54799¹
LCM(54782,54799) = 3001998818