What is the Least Common Multiple of 43420 and 43433?

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 43420 and 43433 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 43420 and 43433, than apply into the LCM equation.

GCF(43420,43433) = 13
LCM(43420,43433) = ( 43420 × 43433) / 13
LCM(43420,43433) = 1885860860 / 13
LCM(43420,43433) = 145066220

Least Common Multiple (LCM) of 43420 and 43433 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 43420 and 43433. First we will calculate the prime factors of 43420 and 43433.

Prime Factorization of 43420

Prime Factorization of 43433

Now multiplying the highest exponent prime factors to calculate the LCM of 43420 and 43433.

LCM(43420,43433) = 2² × 5¹ × 13² × 167¹ × 257¹
LCM(43420,43433) = 145066220