Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 1181 and 1187 the smallest integer that is 1401847 that is divisible by both numbers.
Least Common Multiple (LCM) of 1181 and 1187 is 1401847.
LCM(1181,1187) = 1401847
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
Least common multiple can be found by multiplying the highest exponent prime factors of 1181 and 1187. First we will calculate the prime factors of 1181 and 1187.
Prime Factorization of 1181
1181 | 1181 |
1 |
Prime factors of 1181 are 1181. Prime factorization of 1181 in exponential form is:
1181 = 11811
Prime Factorization of 1187
1187 | 1187 |
1 |
Prime factors of 1187 are 1187. Prime factorization of 1187 in exponential form is:
1187 = 11871
Now multiplying the highest exponent prime factors to calculate the LCM of 1181 and 1187.
LCM(1181,1187) = 11811×11871
LCM(1181,1187) = 1401847
Factors of 1181
List of positive integer factors of 1181 that divides 1181 without a remainder.
1, 1181
Factors of 1187
List of positive integer factors of 1187 that divides 1187 without a remainder.
1, 1187
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 1181 and 1187, than apply into the LCM equation.
GCF(1181,1187) = 1
LCM(1181,1187) = ( 1181 × 1187) / 1
LCM(1181,1187) = 1401847 / 1
LCM(1181,1187) = 1401847
(i) The LCM of 1187 and 1181 is associative
LCM of 1181 and 1187 = LCM of 1187 and 1181
1. What is the LCM of 1181 and 1187?
Answer: LCM of 1181 and 1187 is 1401847.
2. What are the Factors of 1181?
Answer: Factors of 1181 are 1, 1181. There are 2 integers that are factors of 1181. The greatest factor of 1181 is 1181.
3. 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.
4. How to Find the LCM of 1181 and 1187?
Answer:
Least Common Multiple of 1181 and 1187 = 1401847
Step 1: Find the prime factorization of 1181
1181 = 1181
Step 2: Find the prime factorization of 1187
1187 = 1187
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 1401847 = 1181 x 1187
Step 4: Therefore, the least common multiple of 1181 and 1187 is 1401847.