GCF and LCM Calculator Logo

What is the Least Common Multiple of 43375 and 43392?

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 (LCM) of 43375 and 43392 is 1882128000.

LCM(43375,43392) = 1882128000

LCM Calculator and
and

Least Common Multiple of 43375 and 43392 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 43375 and 43392, than apply into the LCM equation.

GCF(43375,43392) = 1
LCM(43375,43392) = ( 43375 × 43392) / 1
LCM(43375,43392) = 1882128000 / 1
LCM(43375,43392) = 1882128000

Least Common Multiple (LCM) of 43375 and 43392 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 43375 and 43392. First we will calculate the prime factors of 43375 and 43392.

Prime Factorization of 43375

Prime factors of 43375 are 5, 347. Prime factorization of 43375 in exponential form is:

43375 = 53 × 3471

Prime Factorization of 43392

Prime factors of 43392 are 2, 3, 113. Prime factorization of 43392 in exponential form is:

43392 = 27 × 31 × 1131

Now multiplying the highest exponent prime factors to calculate the LCM of 43375 and 43392.

LCM(43375,43392) = 53 × 3471 × 27 × 31 × 1131
LCM(43375,43392) = 1882128000