Least Common Multiple of 1205 and 1212

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 1205 and 1212 the smallest integer that is 1460460 that is divisible by both numbers.

Least Common Multiple (LCM) of 1205 and 1212 is 1460460.

LCM(1205,1212) = 1460460

LCM of 1205 and 1212

Least common multiple or lowest common denominator (LCD) can be calculated in three ways;

LCM of:
and

Least Common Multiple of 1205 and 1212

LCM of 1205 and 1212 is 1460460

Least common multiple can be found by multiplying the highest exponent prime factors of 1205 and 1212. First we will calculate the prime factors of 1205 and 1212.

Prime Factorization of 1205


5 1205
241 241
1

Prime factors of 1205 are 5,241. Prime factorization of 1205 in exponential form is:

1205 = 51×2411

Prime Factorization of 1212


2 1212
2 606
3 303
101 101
1

Prime factors of 1212 are 2, 3,101. Prime factorization of 1212 in exponential form is:

1212 = 22×31×1011

Now multiplying the highest exponent prime factors to calculate the LCM of 1205 and 1212.

LCM(1205,1212) = 22×31×51×1011×2411
LCM(1205,1212) = 1460460

Factors of 1205

List of positive integer factors of 1205 that divides 1205 without a remainder.

1, 5, 241, 1205

Factors of 1212

List of positive integer factors of 1212 that divides 1212 without a remainder.

1, 2, 3, 4, 6, 12, 101, 202, 303, 404, 606, 1212

Least Common Multiple of 1205 and 1212 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 1205 and 1212, than apply into the LCM equation.

GCF(1205,1212) = 1
LCM(1205,1212) = ( 1205 × 1212) / 1
LCM(1205,1212) = 1460460 / 1
LCM(1205,1212) = 1460460

Properties of LCM 1205 and 1212

(i) The LCM of 1212 and 1205 is associative

LCM of 1205 and 1212 = LCM of 1212 and 1205

Related Least Common Multiples of 1205

Related Least Common Multiples of 1212

Frequently Asked Questions on LCM of 1205 and 1212

1. What is the LCM of 1205 and 1212?

Answer: LCM of 1205 and 1212 is 1460460.

2. What are the Factors of 1205?

Answer: Factors of 1205 are 1, 5, 241, 1205. There are 4 integers that are factors of 1205. The greatest factor of 1205 is 1205.

3. What are the Factors of 1212?

Answer: Factors of 1212 are 1, 2, 3, 4, 6, 12, 101, 202, 303, 404, 606, 1212. There are 12 integers that are factors of 1212. The greatest factor of 1212 is 1212.

4. How to Find the LCM of 1205 and 1212?

Answer:

Least Common Multiple of 1205 and 1212 = 1460460

Step 1: Find the prime factorization of 1205

1205 = 5 x 241

Step 2: Find the prime factorization of 1212

1212 = 2 x 2 x 3 x 101

Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:

LCM = 1460460 = 2 x 2 x 3 x 5 x 101 x 241

Step 4: Therefore, the least common multiple of 1205 and 1212 is 1460460.