Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 3374 and 3379 the smallest integer that is 11400746 that is divisible by both numbers.
Least Common Multiple (LCM) of 3374 and 3379 is 11400746.
LCM(3374,3379) = 11400746
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 3374 and 3379. First we will calculate the prime factors of 3374 and 3379.
Prime Factorization of 3374
2 | 3374 |
7 | 1687 |
241 | 241 |
1 |
Prime factors of 3374 are 2, 7,241. Prime factorization of 3374 in exponential form is:
3374 = 21×71×2411
Prime Factorization of 3379
31 | 3379 |
109 | 109 |
1 |
Prime factors of 3379 are 31,109. Prime factorization of 3379 in exponential form is:
3379 = 311×1091
Now multiplying the highest exponent prime factors to calculate the LCM of 3374 and 3379.
LCM(3374,3379) = 21×71×311×1091×2411
LCM(3374,3379) = 11400746
Factors of 3374
List of positive integer factors of 3374 that divides 3374 without a remainder.
1, 2, 7, 14, 241, 482, 1687, 3374
Factors of 3379
List of positive integer factors of 3379 that divides 3379 without a remainder.
1, 31, 109, 3379
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 3374 and 3379, than apply into the LCM equation.
GCF(3374,3379) = 1
LCM(3374,3379) = ( 3374 × 3379) / 1
LCM(3374,3379) = 11400746 / 1
LCM(3374,3379) = 11400746
(i) The LCM of 3379 and 3374 is associative
LCM of 3374 and 3379 = LCM of 3379 and 3374
1. What is the LCM of 3374 and 3379?
Answer: LCM of 3374 and 3379 is 11400746.
2. What are the Factors of 3374?
Answer: Factors of 3374 are 1, 2, 7, 14, 241, 482, 1687, 3374. There are 8 integers that are factors of 3374. The greatest factor of 3374 is 3374.
3. What are the Factors of 3379?
Answer: Factors of 3379 are 1, 31, 109, 3379. There are 4 integers that are factors of 3379. The greatest factor of 3379 is 3379.
4. How to Find the LCM of 3374 and 3379?
Answer:
Least Common Multiple of 3374 and 3379 = 11400746
Step 1: Find the prime factorization of 3374
3374 = 2 x 7 x 241
Step 2: Find the prime factorization of 3379
3379 = 31 x 109
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 11400746 = 2 x 7 x 31 x 109 x 241
Step 4: Therefore, the least common multiple of 3374 and 3379 is 11400746.