What is the Least Common Multiple of 43340 and 43344?

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 43344 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 43344, than apply into the LCM equation.

GCF(43340,43344) = 4
LCM(43340,43344) = ( 43340 × 43344) / 4
LCM(43340,43344) = 1878528960 / 4
LCM(43340,43344) = 469632240

Least Common Multiple (LCM) of 43340 and 43344 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 43340 and 43344. First we will calculate the prime factors of 43340 and 43344.

Prime Factorization of 43340

Prime Factorization of 43344

Now multiplying the highest exponent prime factors to calculate the LCM of 43340 and 43344.

LCM(43340,43344) = 2⁴ × 5¹ × 11¹ × 197¹ × 3² × 7¹ × 43¹
LCM(43340,43344) = 469632240