What is the Least Common Multiple of 60225 and 60236?

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 60236 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 60236, than apply into the LCM equation.

GCF(60225,60236) = 11
LCM(60225,60236) = ( 60225 × 60236) / 11
LCM(60225,60236) = 3627713100 / 11
LCM(60225,60236) = 329792100

Least Common Multiple (LCM) of 60225 and 60236 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 60225 and 60236. First we will calculate the prime factors of 60225 and 60236.

Prime Factorization of 60225

Prime Factorization of 60236

Now multiplying the highest exponent prime factors to calculate the LCM of 60225 and 60236.

LCM(60225,60236) = 3¹ × 5² × 11¹ × 73¹ × 2² × 37²
LCM(60225,60236) = 329792100