What is the Least Common Multiple of 40424 and 40435?

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 40424 and 40435 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 40424 and 40435, than apply into the LCM equation.

GCF(40424,40435) = 1
LCM(40424,40435) = ( 40424 × 40435) / 1
LCM(40424,40435) = 1634544440 / 1
LCM(40424,40435) = 1634544440

Least Common Multiple (LCM) of 40424 and 40435 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 40424 and 40435. First we will calculate the prime factors of 40424 and 40435.

Prime Factorization of 40424

Prime Factorization of 40435

Now multiplying the highest exponent prime factors to calculate the LCM of 40424 and 40435.

LCM(40424,40435) = 2³ × 31¹ × 163¹ × 5¹ × 8087¹
LCM(40424,40435) = 1634544440