What is the Least Common Multiple of 40345 and 40350?

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 40345 and 40350 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 40345 and 40350, than apply into the LCM equation.

GCF(40345,40350) = 5
LCM(40345,40350) = ( 40345 × 40350) / 5
LCM(40345,40350) = 1627920750 / 5
LCM(40345,40350) = 325584150

Least Common Multiple (LCM) of 40345 and 40350 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 40345 and 40350. First we will calculate the prime factors of 40345 and 40350.

Prime Factorization of 40345

Prime Factorization of 40350

Now multiplying the highest exponent prime factors to calculate the LCM of 40345 and 40350.

LCM(40345,40350) = 5² × 8069¹ × 2¹ × 3¹ × 269¹
LCM(40345,40350) = 325584150