What is the Least Common Multiple of 60225 and 60232?

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 60225 and 60232 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 60225 and 60232, than apply into the LCM equation.

GCF(60225,60232) = 1
LCM(60225,60232) = ( 60225 × 60232) / 1
LCM(60225,60232) = 3627472200 / 1
LCM(60225,60232) = 3627472200

Least Common Multiple (LCM) of 60225 and 60232 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 60225 and 60232. First we will calculate the prime factors of 60225 and 60232.

Prime Factorization of 60225

Prime Factorization of 60232

Now multiplying the highest exponent prime factors to calculate the LCM of 60225 and 60232.

LCM(60225,60232) = 3¹ × 5² × 11¹ × 73¹ × 2³ × 7529¹
LCM(60225,60232) = 3627472200