Least Common Multiple of 1202 and 1204

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 1202 and 1204 the smallest integer that is 723604 that is divisible by both numbers.

Least Common Multiple (LCM) of 1202 and 1204 is 723604.

LCM(1202,1204) = 723604

LCM of 1202 and 1204

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

LCM of:
and

Least Common Multiple of 1202 and 1204

LCM of 1202 and 1204 is 723604

Least common multiple can be found by multiplying the highest exponent prime factors of 1202 and 1204. First we will calculate the prime factors of 1202 and 1204.

Prime Factorization of 1202


2 1202
601 601
1

Prime factors of 1202 are 2,601. Prime factorization of 1202 in exponential form is:

1202 = 21×6011

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

Now multiplying the highest exponent prime factors to calculate the LCM of 1202 and 1204.

LCM(1202,1204) = 22×71×431×6011
LCM(1202,1204) = 723604

Factors of 1202

List of positive integer factors of 1202 that divides 1202 without a remainder.

1, 2, 601, 1202

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

Least Common Multiple of 1202 and 1204 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 1202 and 1204, than apply into the LCM equation.

GCF(1202,1204) = 2
LCM(1202,1204) = ( 1202 × 1204) / 2
LCM(1202,1204) = 1447208 / 2
LCM(1202,1204) = 723604

Properties of LCM 1202 and 1204

(i) The LCM of 1204 and 1202 is associative

LCM of 1202 and 1204 = LCM of 1204 and 1202

Related Least Common Multiples of 1202

Related Least Common Multiples of 1204

Frequently Asked Questions on LCM of 1202 and 1204

1. What is the LCM of 1202 and 1204?

Answer: LCM of 1202 and 1204 is 723604.

2. What are the Factors of 1202?

Answer: Factors of 1202 are 1, 2, 601, 1202. There are 4 integers that are factors of 1202. The greatest factor of 1202 is 1202.

3. 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.

4. How to Find the LCM of 1202 and 1204?

Answer:

Least Common Multiple of 1202 and 1204 = 723604

Step 1: Find the prime factorization of 1202

1202 = 2 x 601

Step 2: Find the prime factorization of 1204

1204 = 2 x 2 x 7 x 43

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

LCM = 723604 = 2 x 2 x 7 x 43 x 601

Step 4: Therefore, the least common multiple of 1202 and 1204 is 723604.