Least Common Multiple of 1197 and 1202

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 1197 and 1202 the smallest integer that is 1438794 that is divisible by both numbers.

Least Common Multiple (LCM) of 1197 and 1202 is 1438794.

LCM(1197,1202) = 1438794

LCM of 1197 and 1202

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

LCM of:
and

Least Common Multiple of 1197 and 1202

LCM of 1197 and 1202 is 1438794

Least common multiple can be found by multiplying the highest exponent prime factors of 1197 and 1202. First we will calculate the prime factors of 1197 and 1202.

Prime Factorization of 1197


3 1197
3 399
7 133
19 19
1

Prime factors of 1197 are 3, 7,19. Prime factorization of 1197 in exponential form is:

1197 = 32×71×191

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

Now multiplying the highest exponent prime factors to calculate the LCM of 1197 and 1202.

LCM(1197,1202) = 21×32×71×191×6011
LCM(1197,1202) = 1438794

Factors of 1197

List of positive integer factors of 1197 that divides 1197 without a remainder.

1, 3, 7, 9, 19, 21, 57, 63, 133, 171, 399, 1197

Factors of 1202

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

1, 2, 601, 1202

Least Common Multiple of 1197 and 1202 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 1197 and 1202, than apply into the LCM equation.

GCF(1197,1202) = 1
LCM(1197,1202) = ( 1197 × 1202) / 1
LCM(1197,1202) = 1438794 / 1
LCM(1197,1202) = 1438794

Properties of LCM 1197 and 1202

(i) The LCM of 1202 and 1197 is associative

LCM of 1197 and 1202 = LCM of 1202 and 1197

Related Least Common Multiples of 1197

Related Least Common Multiples of 1202

Frequently Asked Questions on LCM of 1197 and 1202

1. What is the LCM of 1197 and 1202?

Answer: LCM of 1197 and 1202 is 1438794.

2. What are the Factors of 1197?

Answer: Factors of 1197 are 1, 3, 7, 9, 19, 21, 57, 63, 133, 171, 399, 1197. There are 12 integers that are factors of 1197. The greatest factor of 1197 is 1197.

3. 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.

4. How to Find the LCM of 1197 and 1202?

Answer:

Least Common Multiple of 1197 and 1202 = 1438794

Step 1: Find the prime factorization of 1197

1197 = 3 x 3 x 7 x 19

Step 2: Find the prime factorization of 1202

1202 = 2 x 601

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

LCM = 1438794 = 2 x 3 x 3 x 7 x 19 x 601

Step 4: Therefore, the least common multiple of 1197 and 1202 is 1438794.