What is the Least Common Multiple of 43312 and 43324?

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 43312 and 43324 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 43312 and 43324, than apply into the LCM equation.

GCF(43312,43324) = 4
LCM(43312,43324) = ( 43312 × 43324) / 4
LCM(43312,43324) = 1876449088 / 4
LCM(43312,43324) = 469112272

Least Common Multiple (LCM) of 43312 and 43324 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 43312 and 43324. First we will calculate the prime factors of 43312 and 43324.

Prime Factorization of 43312

Prime Factorization of 43324

Now multiplying the highest exponent prime factors to calculate the LCM of 43312 and 43324.

LCM(43312,43324) = 2⁴ × 2707¹ × 10831¹
LCM(43312,43324) = 469112272