# What is the Least Common Multiple of 212 and 232?

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 232 is 12296.

LCM(212,232) = 12296

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## Least Common Multiple of 212 and 232 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 232, than apply into the LCM equation.

GCF(212,232) = 4
LCM(212,232) = ( 212 × 232) / 4
LCM(212,232) = 49184 / 4
LCM(212,232) = 12296

## Least Common Multiple (LCM) of 212 and 232 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 212 and 232. First we will calculate the prime factors of 212 and 232.

### 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 232

Prime factors of 232 are 2, 29. Prime factorization of 232 in exponential form is:

232 = 23 × 291

Now multiplying the highest exponent prime factors to calculate the LCM of 212 and 232.

LCM(212,232) = 23 × 531 × 291
LCM(212,232) = 12296

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