What is the Least Common Multiple of 43332 and 43346?

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 43332 and 43346 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 43332 and 43346, than apply into the LCM equation.

GCF(43332,43346) = 2
LCM(43332,43346) = ( 43332 × 43346) / 2
LCM(43332,43346) = 1878268872 / 2
LCM(43332,43346) = 939134436

Least Common Multiple (LCM) of 43332 and 43346 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 43332 and 43346. First we will calculate the prime factors of 43332 and 43346.

Prime Factorization of 43332

Prime Factorization of 43346

Now multiplying the highest exponent prime factors to calculate the LCM of 43332 and 43346.

LCM(43332,43346) = 2² × 3¹ × 23¹ × 157¹ × 21673¹
LCM(43332,43346) = 939134436