GCF and LCM Calculator Logo

Least Common Multiple of 212 and 225

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 (LCM) of 212 and 225 is 47700.

LCM(212,225) = 47700

LCM Calculator and

Least Common Multiple of 212 and 225 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 212 and 225, than apply into the LCM equation.

GCF(212,225) = 1
LCM(212,225) = ( 212 × 225) / 1
LCM(212,225) = 47700 / 1
LCM(212,225) = 47700

Least Common Multiple (LCM) of 212 and 225 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 212 and 225. First we will calculate the prime factors of 212 and 225.

Prime Factorization of 212

Prime factors of 212 are 2, 53. Prime factorization of 212 in exponential form is:

212 = 22 × 531

Prime Factorization of 225

Prime factors of 225 are 3, 5. Prime factorization of 225 in exponential form is:

225 = 32 × 52

Now multiplying the highest exponent prime factors to calculate the LCM of 212 and 225.

LCM(212,225) = 22 × 531 × 32 × 52
LCM(212,225) = 47700

Please share your comments