What is the Least Common Multiple of 43228 and 43241?

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 43228 and 43241 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 43228 and 43241, than apply into the LCM equation.

GCF(43228,43241) = 1
LCM(43228,43241) = ( 43228 × 43241) / 1
LCM(43228,43241) = 1869221948 / 1
LCM(43228,43241) = 1869221948

Least Common Multiple (LCM) of 43228 and 43241 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 43228 and 43241. First we will calculate the prime factors of 43228 and 43241.

Prime Factorization of 43228

Prime Factorization of 43241

Now multiplying the highest exponent prime factors to calculate the LCM of 43228 and 43241.

LCM(43228,43241) = 2² × 101¹ × 107¹ × 11¹ × 3931¹
LCM(43228,43241) = 1869221948