What is the Least Common Multiple of 43433 and 43452?

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 43433 and 43452 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 43433 and 43452, than apply into the LCM equation.

GCF(43433,43452) = 1
LCM(43433,43452) = ( 43433 × 43452) / 1
LCM(43433,43452) = 1887250716 / 1
LCM(43433,43452) = 1887250716

Least Common Multiple (LCM) of 43433 and 43452 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 43433 and 43452. First we will calculate the prime factors of 43433 and 43452.

Prime Factorization of 43433

Prime Factorization of 43452

Now multiplying the highest exponent prime factors to calculate the LCM of 43433 and 43452.

LCM(43433,43452) = 13² × 257¹ × 2² × 3² × 17¹ × 71¹
LCM(43433,43452) = 1887250716