What is the Least Common Multiple of 43328 and 43342?

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 43328 and 43342 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 43328 and 43342, than apply into the LCM equation.

GCF(43328,43342) = 2
LCM(43328,43342) = ( 43328 × 43342) / 2
LCM(43328,43342) = 1877922176 / 2
LCM(43328,43342) = 938961088

Least Common Multiple (LCM) of 43328 and 43342 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 43328 and 43342. First we will calculate the prime factors of 43328 and 43342.

Prime Factorization of 43328

Prime Factorization of 43342

Now multiplying the highest exponent prime factors to calculate the LCM of 43328 and 43342.

LCM(43328,43342) = 2⁶ × 677¹ × 13¹ × 1667¹
LCM(43328,43342) = 938961088