Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 291 and 292 the smallest integer that is 84972 that is divisible by both numbers.
Least Common Multiple (LCM) of 291 and 292 is 84972.
LCM(291,292) = 84972
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 291 and 292. First we will calculate the prime factors of 291 and 292.
Prime Factorization of 291
3 | 291 |
97 | 97 |
1 |
Prime factors of 291 are 3,97. Prime factorization of 291 in exponential form is:
291 = 31×971
Prime Factorization of 292
2 | 292 |
2 | 146 |
73 | 73 |
1 |
Prime factors of 292 are 2,73. Prime factorization of 292 in exponential form is:
292 = 22×731
Now multiplying the highest exponent prime factors to calculate the LCM of 291 and 292.
LCM(291,292) = 22×31×731×971
LCM(291,292) = 84972
Factors of 291
List of positive integer factors of 291 that divides 291 without a remainder.
1, 3, 97, 291
Factors of 292
List of positive integer factors of 292 that divides 292 without a remainder.
1, 2, 4, 73, 146, 292
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 291 and 292, than apply into the LCM equation.
GCF(291,292) = 1
LCM(291,292) = ( 291 × 292) / 1
LCM(291,292) = 84972 / 1
LCM(291,292) = 84972
(i) The LCM of 292 and 291 is associative
LCM of 291 and 292 = LCM of 292 and 291
1. What is the LCM of 291 and 292?
Answer: LCM of 291 and 292 is 84972.
2. What are the Factors of 291?
Answer: Factors of 291 are 1, 3, 97, 291. There are 4 integers that are factors of 291. The greatest factor of 291 is 291.
3. What are the Factors of 292?
Answer: Factors of 292 are 1, 2, 4, 73, 146, 292. There are 6 integers that are factors of 292. The greatest factor of 292 is 292.
4. How to Find the LCM of 291 and 292?
Answer:
Least Common Multiple of 291 and 292 = 84972
Step 1: Find the prime factorization of 291
291 = 3 x 97
Step 2: Find the prime factorization of 292
292 = 2 x 2 x 73
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 84972 = 2 x 2 x 3 x 73 x 97
Step 4: Therefore, the least common multiple of 291 and 292 is 84972.