What is the Least Common Multiple of 81738 and 81758?

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 81738 and 81758 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 81738 and 81758, than apply into the LCM equation.

GCF(81738,81758) = 2
LCM(81738,81758) = ( 81738 × 81758) / 2
LCM(81738,81758) = 6682735404 / 2
LCM(81738,81758) = 3341367702

Least Common Multiple (LCM) of 81738 and 81758 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 81738 and 81758. First we will calculate the prime factors of 81738 and 81758.

Prime Factorization of 81738

Prime Factorization of 81758

Now multiplying the highest exponent prime factors to calculate the LCM of 81738 and 81758.

LCM(81738,81758) = 2¹ × 3² × 19¹ × 239¹ × 40879¹
LCM(81738,81758) = 3341367702