Least Common Multiple of 1194 and 1197

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 1194 and 1197 the smallest integer that is 476406 that is divisible by both numbers.

Least Common Multiple (LCM) of 1194 and 1197 is 476406.

LCM(1194,1197) = 476406

LCM of 1194 and 1197

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

LCM of:
and

Least Common Multiple of 1194 and 1197

LCM of 1194 and 1197 is 476406

Least common multiple can be found by multiplying the highest exponent prime factors of 1194 and 1197. First we will calculate the prime factors of 1194 and 1197.

Prime Factorization of 1194


2 1194
3 597
199 199
1

Prime factors of 1194 are 2, 3,199. Prime factorization of 1194 in exponential form is:

1194 = 21×31×1991

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

Now multiplying the highest exponent prime factors to calculate the LCM of 1194 and 1197.

LCM(1194,1197) = 21×32×71×191×1991
LCM(1194,1197) = 476406

Factors of 1194

List of positive integer factors of 1194 that divides 1194 without a remainder.

1, 2, 3, 6, 199, 398, 597, 1194

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

Least Common Multiple of 1194 and 1197 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 1194 and 1197, than apply into the LCM equation.

GCF(1194,1197) = 3
LCM(1194,1197) = ( 1194 × 1197) / 3
LCM(1194,1197) = 1429218 / 3
LCM(1194,1197) = 476406

Properties of LCM 1194 and 1197

(i) The LCM of 1197 and 1194 is associative

LCM of 1194 and 1197 = LCM of 1197 and 1194

Related Least Common Multiples of 1194

Related Least Common Multiples of 1197

Frequently Asked Questions on LCM of 1194 and 1197

1. What is the LCM of 1194 and 1197?

Answer: LCM of 1194 and 1197 is 476406.

2. What are the Factors of 1194?

Answer: Factors of 1194 are 1, 2, 3, 6, 199, 398, 597, 1194. There are 8 integers that are factors of 1194. The greatest factor of 1194 is 1194.

3. 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.

4. How to Find the LCM of 1194 and 1197?

Answer:

Least Common Multiple of 1194 and 1197 = 476406

Step 1: Find the prime factorization of 1194

1194 = 2 x 3 x 199

Step 2: Find the prime factorization of 1197

1197 = 3 x 3 x 7 x 19

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

LCM = 476406 = 2 x 3 x 3 x 7 x 19 x 199

Step 4: Therefore, the least common multiple of 1194 and 1197 is 476406.