What is the Least Common Multiple of 54782 and 54789?

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 54789 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 54789, than apply into the LCM equation.

GCF(54782,54789) = 7
LCM(54782,54789) = ( 54782 × 54789) / 7
LCM(54782,54789) = 3001450998 / 7
LCM(54782,54789) = 428778714

Least Common Multiple (LCM) of 54782 and 54789 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 54782 and 54789. First we will calculate the prime factors of 54782 and 54789.

Prime Factorization of 54782

Prime Factorization of 54789

Now multiplying the highest exponent prime factors to calculate the LCM of 54782 and 54789.

LCM(54782,54789) = 2¹ × 7² × 13¹ × 43¹ × 3¹ × 2609¹
LCM(54782,54789) = 428778714