What is the Least Common Multiple of 40825 and 40835?

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 40835 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 40835, than apply into the LCM equation.

GCF(40825,40835) = 5
LCM(40825,40835) = ( 40825 × 40835) / 5
LCM(40825,40835) = 1667088875 / 5
LCM(40825,40835) = 333417775

Least Common Multiple (LCM) of 40825 and 40835 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 40825 and 40835. First we will calculate the prime factors of 40825 and 40835.

Prime Factorization of 40825

Prime Factorization of 40835

Now multiplying the highest exponent prime factors to calculate the LCM of 40825 and 40835.

LCM(40825,40835) = 5² × 23¹ × 71¹ × 8167¹
LCM(40825,40835) = 333417775