What is the Least Common Multiple of 51738 and 51745?

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 51738 and 51745 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 51738 and 51745, than apply into the LCM equation.

GCF(51738,51745) = 1
LCM(51738,51745) = ( 51738 × 51745) / 1
LCM(51738,51745) = 2677182810 / 1
LCM(51738,51745) = 2677182810

Least Common Multiple (LCM) of 51738 and 51745 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 51738 and 51745. First we will calculate the prime factors of 51738 and 51745.

Prime Factorization of 51738

Prime Factorization of 51745

Now multiplying the highest exponent prime factors to calculate the LCM of 51738 and 51745.

LCM(51738,51745) = 2¹ × 3¹ × 8623¹ × 5¹ × 79¹ × 131¹
LCM(51738,51745) = 2677182810