# Least Common Multiple of 1225 and 1230

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 1225 and 1230 is 301350.

LCM(1225,1230) = 301350

LCM Calculator and

## Least Common Multiple of 1225 and 1230 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 1225 and 1230, than apply into the LCM equation.

GCF(1225,1230) = 5
LCM(1225,1230) = ( 1225 × 1230) / 5
LCM(1225,1230) = 1506750 / 5
LCM(1225,1230) = 301350

## Least Common Multiple (LCM) of 1225 and 1230 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 1225 and 1230. First we will calculate the prime factors of 1225 and 1230.

### Prime Factorization of 1225

Prime factors of 1225 are 5, 7. Prime factorization of 1225 in exponential form is:

1225 = 52 × 72

### Prime Factorization of 1230

Prime factors of 1230 are 2, 3, 5, 41. Prime factorization of 1230 in exponential form is:

1230 = 21 × 31 × 51 × 411

Now multiplying the highest exponent prime factors to calculate the LCM of 1225 and 1230.

LCM(1225,1230) = 52 × 72 × 21 × 31 × 411
LCM(1225,1230) = 301350