Least Common Multiple of 1204 and 1207

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 1207 the smallest integer that is 1453228 that is divisible by both numbers.

Least Common Multiple (LCM) of 1204 and 1207 is 1453228.

LCM(1204,1207) = 1453228

LCM of 1204 and 1207

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

LCM of:
and

Least Common Multiple of 1204 and 1207

LCM of 1204 and 1207 is 1453228

Least common multiple can be found by multiplying the highest exponent prime factors of 1204 and 1207. First we will calculate the prime factors of 1204 and 1207.

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 1207


17 1207
71 71
1

Prime factors of 1207 are 17,71. Prime factorization of 1207 in exponential form is:

1207 = 171×711

Now multiplying the highest exponent prime factors to calculate the LCM of 1204 and 1207.

LCM(1204,1207) = 22×71×171×431×711
LCM(1204,1207) = 1453228

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 1207

List of positive integer factors of 1207 that divides 1207 without a remainder.

1, 17, 71, 1207

Least Common Multiple of 1204 and 1207 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 1207, than apply into the LCM equation.

GCF(1204,1207) = 1
LCM(1204,1207) = ( 1204 × 1207) / 1
LCM(1204,1207) = 1453228 / 1
LCM(1204,1207) = 1453228

Properties of LCM 1204 and 1207

(i) The LCM of 1207 and 1204 is associative

LCM of 1204 and 1207 = LCM of 1207 and 1204

Related Least Common Multiples of 1204

Related Least Common Multiples of 1207

Frequently Asked Questions on LCM of 1204 and 1207

1. What is the LCM of 1204 and 1207?

Answer: LCM of 1204 and 1207 is 1453228.

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 1207?

Answer: Factors of 1207 are 1, 17, 71, 1207. There are 4 integers that are factors of 1207. The greatest factor of 1207 is 1207.

4. How to Find the LCM of 1204 and 1207?

Answer:

Least Common Multiple of 1204 and 1207 = 1453228

Step 1: Find the prime factorization of 1204

1204 = 2 x 2 x 7 x 43

Step 2: Find the prime factorization of 1207

1207 = 17 x 71

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

LCM = 1453228 = 2 x 2 x 7 x 17 x 43 x 71

Step 4: Therefore, the least common multiple of 1204 and 1207 is 1453228.