What is the Least Common Multiple of 81908 and 81918?

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 81908 and 81918 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 81908 and 81918, than apply into the LCM equation.

GCF(81908,81918) = 2
LCM(81908,81918) = ( 81908 × 81918) / 2
LCM(81908,81918) = 6709739544 / 2
LCM(81908,81918) = 3354869772

Least Common Multiple (LCM) of 81908 and 81918 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 81908 and 81918. First we will calculate the prime factors of 81908 and 81918.

Prime Factorization of 81908

Prime Factorization of 81918

Now multiplying the highest exponent prime factors to calculate the LCM of 81908 and 81918.

LCM(81908,81918) = 2² × 20477¹ × 3³ × 37¹ × 41¹
LCM(81908,81918) = 3354869772