Least Common Multiple of 1194 and 1199

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 1199 the smallest integer that is 1431606 that is divisible by both numbers.

Least Common Multiple (LCM) of 1194 and 1199 is 1431606.

LCM(1194,1199) = 1431606

LCM of 1194 and 1199

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

LCM of:
and

Least Common Multiple of 1194 and 1199

LCM of 1194 and 1199 is 1431606

Least common multiple can be found by multiplying the highest exponent prime factors of 1194 and 1199. First we will calculate the prime factors of 1194 and 1199.

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 1199


11 1199
109 109
1

Prime factors of 1199 are 11,109. Prime factorization of 1199 in exponential form is:

1199 = 111×1091

Now multiplying the highest exponent prime factors to calculate the LCM of 1194 and 1199.

LCM(1194,1199) = 21×31×111×1091×1991
LCM(1194,1199) = 1431606

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 1199

List of positive integer factors of 1199 that divides 1199 without a remainder.

1, 11, 109, 1199

Least Common Multiple of 1194 and 1199 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 1199, than apply into the LCM equation.

GCF(1194,1199) = 1
LCM(1194,1199) = ( 1194 × 1199) / 1
LCM(1194,1199) = 1431606 / 1
LCM(1194,1199) = 1431606

Properties of LCM 1194 and 1199

(i) The LCM of 1199 and 1194 is associative

LCM of 1194 and 1199 = LCM of 1199 and 1194

Related Least Common Multiples of 1194

Related Least Common Multiples of 1199

Frequently Asked Questions on LCM of 1194 and 1199

1. What is the LCM of 1194 and 1199?

Answer: LCM of 1194 and 1199 is 1431606.

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 1199?

Answer: Factors of 1199 are 1, 11, 109, 1199. There are 4 integers that are factors of 1199. The greatest factor of 1199 is 1199.

4. How to Find the LCM of 1194 and 1199?

Answer:

Least Common Multiple of 1194 and 1199 = 1431606

Step 1: Find the prime factorization of 1194

1194 = 2 x 3 x 199

Step 2: Find the prime factorization of 1199

1199 = 11 x 109

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

LCM = 1431606 = 2 x 3 x 11 x 109 x 199

Step 4: Therefore, the least common multiple of 1194 and 1199 is 1431606.