What is the Least Common Multiple of 43340 and 43345?

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 43340 and 43345 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 43340 and 43345, than apply into the LCM equation.

GCF(43340,43345) = 5
LCM(43340,43345) = ( 43340 × 43345) / 5
LCM(43340,43345) = 1878572300 / 5
LCM(43340,43345) = 375714460

Least Common Multiple (LCM) of 43340 and 43345 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 43340 and 43345. First we will calculate the prime factors of 43340 and 43345.

Prime Factorization of 43340

Prime Factorization of 43345

Now multiplying the highest exponent prime factors to calculate the LCM of 43340 and 43345.

LCM(43340,43345) = 2² × 5¹ × 11¹ × 197¹ × 8669¹
LCM(43340,43345) = 375714460