What is the Least Common Multiple of 42225 and 42241?

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 42225 and 42241 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 42225 and 42241, than apply into the LCM equation.

GCF(42225,42241) = 1
LCM(42225,42241) = ( 42225 × 42241) / 1
LCM(42225,42241) = 1783626225 / 1
LCM(42225,42241) = 1783626225

Least Common Multiple (LCM) of 42225 and 42241 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 42225 and 42241. First we will calculate the prime factors of 42225 and 42241.

Prime Factorization of 42225

Prime Factorization of 42241

Now multiplying the highest exponent prime factors to calculate the LCM of 42225 and 42241.

LCM(42225,42241) = 3¹ × 5² × 563¹ × 53¹ × 797¹
LCM(42225,42241) = 1783626225