What is the Least Common Multiple of 64228 and 64243?

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 64228 and 64243 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 64228 and 64243, than apply into the LCM equation.

GCF(64228,64243) = 1
LCM(64228,64243) = ( 64228 × 64243) / 1
LCM(64228,64243) = 4126199404 / 1
LCM(64228,64243) = 4126199404

Least Common Multiple (LCM) of 64228 and 64243 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 64228 and 64243. First we will calculate the prime factors of 64228 and 64243.

Prime Factorization of 64228

Prime Factorization of 64243

Now multiplying the highest exponent prime factors to calculate the LCM of 64228 and 64243.

LCM(64228,64243) = 2² × 16057¹ × 17¹ × 3779¹
LCM(64228,64243) = 4126199404