What is the Least Common Multiple of 17792 and 17810?

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 17792 and 17810 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 17792 and 17810, than apply into the LCM equation.

GCF(17792,17810) = 2
LCM(17792,17810) = ( 17792 × 17810) / 2
LCM(17792,17810) = 316875520 / 2
LCM(17792,17810) = 158437760

Least Common Multiple (LCM) of 17792 and 17810 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 17792 and 17810. First we will calculate the prime factors of 17792 and 17810.

Prime Factorization of 17792

Prime Factorization of 17810

Now multiplying the highest exponent prime factors to calculate the LCM of 17792 and 17810.

LCM(17792,17810) = 2⁷ × 139¹ × 5¹ × 13¹ × 137¹
LCM(17792,17810) = 158437760