What is the Least Common Multiple of 43240 and 43245?

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 43240 and 43245 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 43240 and 43245, than apply into the LCM equation.

GCF(43240,43245) = 5
LCM(43240,43245) = ( 43240 × 43245) / 5
LCM(43240,43245) = 1869913800 / 5
LCM(43240,43245) = 373982760

Least Common Multiple (LCM) of 43240 and 43245 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 43240 and 43245. First we will calculate the prime factors of 43240 and 43245.

Prime Factorization of 43240

Prime Factorization of 43245

Now multiplying the highest exponent prime factors to calculate the LCM of 43240 and 43245.

LCM(43240,43245) = 2³ × 5¹ × 23¹ × 47¹ × 3² × 31²
LCM(43240,43245) = 373982760