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 298 the smallest integer that is 43508 that is divisible by both numbers.
Least Common Multiple (LCM) of 292 and 298 is 43508.
LCM(292,298) = 43508
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 298. First we will calculate the prime factors of 292 and 298.
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 298
2 | 298 |
149 | 149 |
1 |
Prime factors of 298 are 2,149. Prime factorization of 298 in exponential form is:
298 = 21×1491
Now multiplying the highest exponent prime factors to calculate the LCM of 292 and 298.
LCM(292,298) = 22×731×1491
LCM(292,298) = 43508
Factors of 292
List of positive integer factors of 292 that divides 292 without a remainder.
1, 2, 4, 73, 146, 292
Factors of 298
List of positive integer factors of 298 that divides 298 without a remainder.
1, 2, 149, 298
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 292 and 298, than apply into the LCM equation.
GCF(292,298) = 2
LCM(292,298) = ( 292 × 298) / 2
LCM(292,298) = 87016 / 2
LCM(292,298) = 43508
(i) The LCM of 298 and 292 is associative
LCM of 292 and 298 = LCM of 298 and 292
1. What is the LCM of 292 and 298?
Answer: LCM of 292 and 298 is 43508.
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 298?
Answer: Factors of 298 are 1, 2, 149, 298. There are 4 integers that are factors of 298. The greatest factor of 298 is 298.
4. How to Find the LCM of 292 and 298?
Answer:
Least Common Multiple of 292 and 298 = 43508
Step 1: Find the prime factorization of 292
292 = 2 x 2 x 73
Step 2: Find the prime factorization of 298
298 = 2 x 149
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 43508 = 2 x 2 x 73 x 149
Step 4: Therefore, the least common multiple of 292 and 298 is 43508.