What is the Least Common Multiple of 40836 and 40845?

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 40836 and 40845 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 40836 and 40845, than apply into the LCM equation.

GCF(40836,40845) = 3
LCM(40836,40845) = ( 40836 × 40845) / 3
LCM(40836,40845) = 1667946420 / 3
LCM(40836,40845) = 555982140

Least Common Multiple (LCM) of 40836 and 40845 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 40836 and 40845. First we will calculate the prime factors of 40836 and 40845.

Prime Factorization of 40836

Prime Factorization of 40845

Now multiplying the highest exponent prime factors to calculate the LCM of 40836 and 40845.

LCM(40836,40845) = 2² × 3¹ × 41¹ × 83¹ × 5¹ × 7¹ × 389¹
LCM(40836,40845) = 555982140