What is the Least Common Multiple of 42225 and 42245?

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 42245 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 42245, than apply into the LCM equation.

GCF(42225,42245) = 5
LCM(42225,42245) = ( 42225 × 42245) / 5
LCM(42225,42245) = 1783795125 / 5
LCM(42225,42245) = 356759025

Least Common Multiple (LCM) of 42225 and 42245 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 42225 and 42245. First we will calculate the prime factors of 42225 and 42245.

Prime Factorization of 42225

Prime Factorization of 42245

Now multiplying the highest exponent prime factors to calculate the LCM of 42225 and 42245.

LCM(42225,42245) = 3¹ × 5² × 563¹ × 7¹ × 17¹ × 71¹
LCM(42225,42245) = 356759025