Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 337 and 342 the smallest integer that is 115254 that is divisible by both numbers.
Least Common Multiple (LCM) of 337 and 342 is 115254.
LCM(337,342) = 115254
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 337 and 342. First we will calculate the prime factors of 337 and 342.
Prime Factorization of 337
337 | 337 |
1 |
Prime factors of 337 are 337. Prime factorization of 337 in exponential form is:
337 = 3371
Prime Factorization of 342
2 | 342 |
3 | 171 |
3 | 57 |
19 | 19 |
1 |
Prime factors of 342 are 2, 3,19. Prime factorization of 342 in exponential form is:
342 = 21×32×191
Now multiplying the highest exponent prime factors to calculate the LCM of 337 and 342.
LCM(337,342) = 21×32×191×3371
LCM(337,342) = 115254
Factors of 337
List of positive integer factors of 337 that divides 337 without a remainder.
1, 337
Factors of 342
List of positive integer factors of 342 that divides 342 without a remainder.
1, 2, 3, 6, 9, 18, 19, 38, 57, 114, 171, 342
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 337 and 342, than apply into the LCM equation.
GCF(337,342) = 1
LCM(337,342) = ( 337 × 342) / 1
LCM(337,342) = 115254 / 1
LCM(337,342) = 115254
(i) The LCM of 342 and 337 is associative
LCM of 337 and 342 = LCM of 342 and 337
1. What is the LCM of 337 and 342?
Answer: LCM of 337 and 342 is 115254.
2. What are the Factors of 337?
Answer: Factors of 337 are 1, 337. There are 2 integers that are factors of 337. The greatest factor of 337 is 337.
3. What are the Factors of 342?
Answer: Factors of 342 are 1, 2, 3, 6, 9, 18, 19, 38, 57, 114, 171, 342. There are 12 integers that are factors of 342. The greatest factor of 342 is 342.
4. How to Find the LCM of 337 and 342?
Answer:
Least Common Multiple of 337 and 342 = 115254
Step 1: Find the prime factorization of 337
337 = 337
Step 2: Find the prime factorization of 342
342 = 2 x 3 x 3 x 19
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 115254 = 2 x 3 x 3 x 19 x 337
Step 4: Therefore, the least common multiple of 337 and 342 is 115254.