What is the Least Common Multiple of 59225 and 59243?

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 59225 and 59243 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 59225 and 59243, than apply into the LCM equation.

GCF(59225,59243) = 1
LCM(59225,59243) = ( 59225 × 59243) / 1
LCM(59225,59243) = 3508666675 / 1
LCM(59225,59243) = 3508666675

Least Common Multiple (LCM) of 59225 and 59243 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 59225 and 59243. First we will calculate the prime factors of 59225 and 59243.

Prime Factorization of 59225

Prime Factorization of 59243

Now multiplying the highest exponent prime factors to calculate the LCM of 59225 and 59243.

LCM(59225,59243) = 5² × 23¹ × 103¹ × 59243¹
LCM(59225,59243) = 3508666675