Least Common Multiple of 1187 and 1194

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 1187 and 1194 the smallest integer that is 1417278 that is divisible by both numbers.

Least Common Multiple (LCM) of 1187 and 1194 is 1417278.

LCM(1187,1194) = 1417278

LCM of 1187 and 1194

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

LCM of:
and

Least Common Multiple of 1187 and 1194

LCM of 1187 and 1194 is 1417278

Least common multiple can be found by multiplying the highest exponent prime factors of 1187 and 1194. First we will calculate the prime factors of 1187 and 1194.

Prime Factorization of 1187


1187 1187
1

Prime factors of 1187 are 1187. Prime factorization of 1187 in exponential form is:

1187 = 11871

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

Now multiplying the highest exponent prime factors to calculate the LCM of 1187 and 1194.

LCM(1187,1194) = 21×31×1991×11871
LCM(1187,1194) = 1417278

Factors of 1187

List of positive integer factors of 1187 that divides 1187 without a remainder.

1, 1187

Factors of 1194

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

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

Least Common Multiple of 1187 and 1194 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 1187 and 1194, than apply into the LCM equation.

GCF(1187,1194) = 1
LCM(1187,1194) = ( 1187 × 1194) / 1
LCM(1187,1194) = 1417278 / 1
LCM(1187,1194) = 1417278

Properties of LCM 1187 and 1194

(i) The LCM of 1194 and 1187 is associative

LCM of 1187 and 1194 = LCM of 1194 and 1187

Related Least Common Multiples of 1187

Related Least Common Multiples of 1194

Frequently Asked Questions on LCM of 1187 and 1194

1. What is the LCM of 1187 and 1194?

Answer: LCM of 1187 and 1194 is 1417278.

2. What are the Factors of 1187?

Answer: Factors of 1187 are 1, 1187. There are 2 integers that are factors of 1187. The greatest factor of 1187 is 1187.

3. 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.

4. How to Find the LCM of 1187 and 1194?

Answer:

Least Common Multiple of 1187 and 1194 = 1417278

Step 1: Find the prime factorization of 1187

1187 = 1187

Step 2: Find the prime factorization of 1194

1194 = 2 x 3 x 199

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

LCM = 1417278 = 2 x 3 x 199 x 1187

Step 4: Therefore, the least common multiple of 1187 and 1194 is 1417278.