What is the Least Common Multiple of 40435 and 40455?

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 40435 and 40455 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 40435 and 40455, than apply into the LCM equation.

GCF(40435,40455) = 5
LCM(40435,40455) = ( 40435 × 40455) / 5
LCM(40435,40455) = 1635797925 / 5
LCM(40435,40455) = 327159585

Least Common Multiple (LCM) of 40435 and 40455 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 40435 and 40455. First we will calculate the prime factors of 40435 and 40455.

Prime Factorization of 40435

Prime Factorization of 40455

Now multiplying the highest exponent prime factors to calculate the LCM of 40435 and 40455.

LCM(40435,40455) = 5¹ × 8087¹ × 3² × 29¹ × 31¹
LCM(40435,40455) = 327159585