Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 292 and 299 the smallest integer that is 87308 that is divisible by both numbers.
Least Common Multiple (LCM) of 292 and 299 is 87308.
LCM(292,299) = 87308
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 292 and 299. First we will calculate the prime factors of 292 and 299.
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
Prime Factorization of 299
13 | 299 |
23 | 23 |
1 |
Prime factors of 299 are 13,23. Prime factorization of 299 in exponential form is:
299 = 131×231
Now multiplying the highest exponent prime factors to calculate the LCM of 292 and 299.
LCM(292,299) = 22×131×231×731
LCM(292,299) = 87308
Factors of 292
List of positive integer factors of 292 that divides 292 without a remainder.
1, 2, 4, 73, 146, 292
Factors of 299
List of positive integer factors of 299 that divides 299 without a remainder.
1, 13, 23, 299
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 292 and 299, than apply into the LCM equation.
GCF(292,299) = 1
LCM(292,299) = ( 292 × 299) / 1
LCM(292,299) = 87308 / 1
LCM(292,299) = 87308
(i) The LCM of 299 and 292 is associative
LCM of 292 and 299 = LCM of 299 and 292
1. What is the LCM of 292 and 299?
Answer: LCM of 292 and 299 is 87308.
2. 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.
3. What are the Factors of 299?
Answer: Factors of 299 are 1, 13, 23, 299. There are 4 integers that are factors of 299. The greatest factor of 299 is 299.
4. How to Find the LCM of 292 and 299?
Answer:
Least Common Multiple of 292 and 299 = 87308
Step 1: Find the prime factorization of 292
292 = 2 x 2 x 73
Step 2: Find the prime factorization of 299
299 = 13 x 23
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 87308 = 2 x 2 x 13 x 23 x 73
Step 4: Therefore, the least common multiple of 292 and 299 is 87308.