What is the Least Common Multiple of 68806 and 68810?

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 68806 and 68810 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 68806 and 68810, than apply into the LCM equation.

GCF(68806,68810) = 2
LCM(68806,68810) = ( 68806 × 68810) / 2
LCM(68806,68810) = 4734540860 / 2
LCM(68806,68810) = 2367270430

Least Common Multiple (LCM) of 68806 and 68810 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 68806 and 68810. First we will calculate the prime factors of 68806 and 68810.

Prime Factorization of 68806

Prime Factorization of 68810

Now multiplying the highest exponent prime factors to calculate the LCM of 68806 and 68810.

LCM(68806,68810) = 2¹ × 34403¹ × 5¹ × 7¹ × 983¹
LCM(68806,68810) = 2367270430