What is the Least Common Multiple of 81836 and 81850?

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 81836 and 81850 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 81836 and 81850, than apply into the LCM equation.

GCF(81836,81850) = 2
LCM(81836,81850) = ( 81836 × 81850) / 2
LCM(81836,81850) = 6698276600 / 2
LCM(81836,81850) = 3349138300

Least Common Multiple (LCM) of 81836 and 81850 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 81836 and 81850. First we will calculate the prime factors of 81836 and 81850.

Prime Factorization of 81836

Prime Factorization of 81850

Now multiplying the highest exponent prime factors to calculate the LCM of 81836 and 81850.

LCM(81836,81850) = 2² × 41¹ × 499¹ × 5² × 1637¹
LCM(81836,81850) = 3349138300