What is the Least Common Multiple of 40825 and 40836?

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 40825 and 40836 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 40825 and 40836, than apply into the LCM equation.

GCF(40825,40836) = 1
LCM(40825,40836) = ( 40825 × 40836) / 1
LCM(40825,40836) = 1667129700 / 1
LCM(40825,40836) = 1667129700

Least Common Multiple (LCM) of 40825 and 40836 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 40825 and 40836. First we will calculate the prime factors of 40825 and 40836.

Prime Factorization of 40825

Prime Factorization of 40836

Now multiplying the highest exponent prime factors to calculate the LCM of 40825 and 40836.

LCM(40825,40836) = 5² × 23¹ × 71¹ × 2² × 3¹ × 41¹ × 83¹
LCM(40825,40836) = 1667129700