What is the Least Common Multiple of 81340 and 81356?

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 81340 and 81356 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 81340 and 81356, than apply into the LCM equation.

GCF(81340,81356) = 4
LCM(81340,81356) = ( 81340 × 81356) / 4
LCM(81340,81356) = 6617497040 / 4
LCM(81340,81356) = 1654374260

Least Common Multiple (LCM) of 81340 and 81356 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 81340 and 81356. First we will calculate the prime factors of 81340 and 81356.

Prime Factorization of 81340

Prime Factorization of 81356

Now multiplying the highest exponent prime factors to calculate the LCM of 81340 and 81356.

LCM(81340,81356) = 2² × 5¹ × 7² × 83¹ × 11¹ × 43²
LCM(81340,81356) = 1654374260