What is the Least Common Multiple of 54726 and 54733?

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 54726 and 54733 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 54726 and 54733, than apply into the LCM equation.

GCF(54726,54733) = 7
LCM(54726,54733) = ( 54726 × 54733) / 7
LCM(54726,54733) = 2995318158 / 7
LCM(54726,54733) = 427902594

Least Common Multiple (LCM) of 54726 and 54733 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 54726 and 54733. First we will calculate the prime factors of 54726 and 54733.

Prime Factorization of 54726

Prime Factorization of 54733

Now multiplying the highest exponent prime factors to calculate the LCM of 54726 and 54733.

LCM(54726,54733) = 2¹ × 3¹ × 7² × 1303¹ × 1117¹
LCM(54726,54733) = 427902594