Least Common Multiple of 1204 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 1204 and 1212 the smallest integer that is 364812 that is divisible by both numbers.

Least Common Multiple (LCM) of 1204 and 1212 is 364812.

LCM(1204,1212) = 364812

LCM of 1204 and 1212

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

LCM of:
and

Least Common Multiple of 1204 and 1212

LCM of 1204 and 1212 is 364812

Least common multiple can be found by multiplying the highest exponent prime factors of 1204 and 1212. First we will calculate the prime factors of 1204 and 1212.

Prime Factorization of 1204


2 1204
2 602
7 301
43 43
1

Prime factors of 1204 are 2, 7,43. Prime factorization of 1204 in exponential form is:

1204 = 22×71×431

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 1204 and 1212.

LCM(1204,1212) = 22×31×71×431×1011
LCM(1204,1212) = 364812

Factors of 1204

List of positive integer factors of 1204 that divides 1204 without a remainder.

1, 2, 4, 7, 14, 28, 43, 86, 172, 301, 602, 1204

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 1204 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 1204 and 1212, than apply into the LCM equation.

GCF(1204,1212) = 4
LCM(1204,1212) = ( 1204 × 1212) / 4
LCM(1204,1212) = 1459248 / 4
LCM(1204,1212) = 364812

Properties of LCM 1204 and 1212

(i) The LCM of 1212 and 1204 is associative

LCM of 1204 and 1212 = LCM of 1212 and 1204

Related Least Common Multiples of 1204

Related Least Common Multiples of 1212

Frequently Asked Questions on LCM of 1204 and 1212

1. What is the LCM of 1204 and 1212?

Answer: LCM of 1204 and 1212 is 364812.

2. What are the Factors of 1204?

Answer: Factors of 1204 are 1, 2, 4, 7, 14, 28, 43, 86, 172, 301, 602, 1204. There are 12 integers that are factors of 1204. The greatest factor of 1204 is 1204.

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 1204 and 1212?

Answer:

Least Common Multiple of 1204 and 1212 = 364812

Step 1: Find the prime factorization of 1204

1204 = 2 x 2 x 7 x 43

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 = 364812 = 2 x 2 x 3 x 7 x 43 x 101

Step 4: Therefore, the least common multiple of 1204 and 1212 is 364812.