Least Common Multiple of 1194 and 1200

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 1200 the smallest integer that is 238800 that is divisible by both numbers.

Least Common Multiple (LCM) of 1194 and 1200 is 238800.

LCM(1194,1200) = 238800

LCM of 1194 and 1200

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

LCM of:
and

Least Common Multiple of 1194 and 1200

LCM of 1194 and 1200 is 238800

Least common multiple can be found by multiplying the highest exponent prime factors of 1194 and 1200. First we will calculate the prime factors of 1194 and 1200.

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 1200


2 1200
2 600
2 300
2 150
3 75
5 25
5 5
1

Prime factors of 1200 are 2, 3,5. Prime factorization of 1200 in exponential form is:

1200 = 24×31×52

Now multiplying the highest exponent prime factors to calculate the LCM of 1194 and 1200.

LCM(1194,1200) = 24×31×52×1991
LCM(1194,1200) = 238800

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 1200

List of positive integer factors of 1200 that divides 1200 without a remainder.

1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 25, 30, 40, 48, 50, 60, 75, 80, 100, 120, 150, 200, 240, 300, 400, 600, 1200

Least Common Multiple of 1194 and 1200 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 1200, than apply into the LCM equation.

GCF(1194,1200) = 6
LCM(1194,1200) = ( 1194 × 1200) / 6
LCM(1194,1200) = 1432800 / 6
LCM(1194,1200) = 238800

Properties of LCM 1194 and 1200

(i) The LCM of 1200 and 1194 is associative

LCM of 1194 and 1200 = LCM of 1200 and 1194

Related Least Common Multiples of 1194

Related Least Common Multiples of 1200

Frequently Asked Questions on LCM of 1194 and 1200

1. What is the LCM of 1194 and 1200?

Answer: LCM of 1194 and 1200 is 238800.

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 1200?

Answer: Factors of 1200 are 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 25, 30, 40, 48, 50, 60, 75, 80, 100, 120, 150, 200, 240, 300, 400, 600, 1200. There are 30 integers that are factors of 1200. The greatest factor of 1200 is 1200.

4. How to Find the LCM of 1194 and 1200?

Answer:

Least Common Multiple of 1194 and 1200 = 238800

Step 1: Find the prime factorization of 1194

1194 = 2 x 3 x 199

Step 2: Find the prime factorization of 1200

1200 = 2 x 2 x 2 x 2 x 3 x 5 x 5

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

LCM = 238800 = 2 x 2 x 2 x 2 x 3 x 5 x 5 x 199

Step 4: Therefore, the least common multiple of 1194 and 1200 is 238800.