What is the Least Common Multiple of 81830 and 81846?

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 81830 and 81846 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 81830 and 81846, than apply into the LCM equation.

GCF(81830,81846) = 2
LCM(81830,81846) = ( 81830 × 81846) / 2
LCM(81830,81846) = 6697458180 / 2
LCM(81830,81846) = 3348729090

Least Common Multiple (LCM) of 81830 and 81846 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 81830 and 81846. First we will calculate the prime factors of 81830 and 81846.

Prime Factorization of 81830

Prime Factorization of 81846

Now multiplying the highest exponent prime factors to calculate the LCM of 81830 and 81846.

LCM(81830,81846) = 2¹ × 5¹ × 7² × 167¹ × 3² × 4547¹
LCM(81830,81846) = 3348729090