What is the Least Common Multiple of 54782 and 54796?

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 54796 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 54796, than apply into the LCM equation.

GCF(54782,54796) = 14
LCM(54782,54796) = ( 54782 × 54796) / 14
LCM(54782,54796) = 3001834472 / 14
LCM(54782,54796) = 214416748

Least Common Multiple (LCM) of 54782 and 54796 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 54782 and 54796. First we will calculate the prime factors of 54782 and 54796.

Prime Factorization of 54782

Prime Factorization of 54796

Now multiplying the highest exponent prime factors to calculate the LCM of 54782 and 54796.

LCM(54782,54796) = 2² × 7² × 13¹ × 43¹ × 19¹ × 103¹
LCM(54782,54796) = 214416748