What is the Least Common Multiple of 81740 and 81746?

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 81740 and 81746 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 81740 and 81746, than apply into the LCM equation.

GCF(81740,81746) = 2
LCM(81740,81746) = ( 81740 × 81746) / 2
LCM(81740,81746) = 6681918040 / 2
LCM(81740,81746) = 3340959020

Least Common Multiple (LCM) of 81740 and 81746 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 81740 and 81746. First we will calculate the prime factors of 81740 and 81746.

Prime Factorization of 81740

Prime Factorization of 81746

Now multiplying the highest exponent prime factors to calculate the LCM of 81740 and 81746.

LCM(81740,81746) = 2² × 5¹ × 61¹ × 67¹ × 7¹ × 5839¹
LCM(81740,81746) = 3340959020