What is the Least Common Multiple of 43308 and 43314?

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 43308 and 43314 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 43308 and 43314, than apply into the LCM equation.

GCF(43308,43314) = 6
LCM(43308,43314) = ( 43308 × 43314) / 6
LCM(43308,43314) = 1875842712 / 6
LCM(43308,43314) = 312640452

Least Common Multiple (LCM) of 43308 and 43314 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 43308 and 43314. First we will calculate the prime factors of 43308 and 43314.

Prime Factorization of 43308

Prime Factorization of 43314

Now multiplying the highest exponent prime factors to calculate the LCM of 43308 and 43314.

LCM(43308,43314) = 2² × 3³ × 401¹ × 7219¹
LCM(43308,43314) = 312640452