Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 2342 and 2350 the smallest integer that is 2751850 that is divisible by both numbers.
Least Common Multiple (LCM) of 2342 and 2350 is 2751850.
LCM(2342,2350) = 2751850
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 2342 and 2350. First we will calculate the prime factors of 2342 and 2350.
Prime Factorization of 2342
2 | 2342 |
1171 | 1171 |
1 |
Prime factors of 2342 are 2,1171. Prime factorization of 2342 in exponential form is:
2342 = 21×11711
Prime Factorization of 2350
2 | 2350 |
5 | 1175 |
5 | 235 |
47 | 47 |
1 |
Prime factors of 2350 are 2, 5,47. Prime factorization of 2350 in exponential form is:
2350 = 21×52×471
Now multiplying the highest exponent prime factors to calculate the LCM of 2342 and 2350.
LCM(2342,2350) = 21×52×471×11711
LCM(2342,2350) = 2751850
Factors of 2342
List of positive integer factors of 2342 that divides 2342 without a remainder.
1, 2, 1171, 2342
Factors of 2350
List of positive integer factors of 2350 that divides 2350 without a remainder.
1, 2, 5, 10, 25, 47, 50, 94, 235, 470, 1175, 2350
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 2342 and 2350, than apply into the LCM equation.
GCF(2342,2350) = 2
LCM(2342,2350) = ( 2342 × 2350) / 2
LCM(2342,2350) = 5503700 / 2
LCM(2342,2350) = 2751850
(i) The LCM of 2350 and 2342 is associative
LCM of 2342 and 2350 = LCM of 2350 and 2342
1. What is the LCM of 2342 and 2350?
Answer: LCM of 2342 and 2350 is 2751850.
2. What are the Factors of 2342?
Answer: Factors of 2342 are 1, 2, 1171, 2342. There are 4 integers that are factors of 2342. The greatest factor of 2342 is 2342.
3. What are the Factors of 2350?
Answer: Factors of 2350 are 1, 2, 5, 10, 25, 47, 50, 94, 235, 470, 1175, 2350. There are 12 integers that are factors of 2350. The greatest factor of 2350 is 2350.
4. How to Find the LCM of 2342 and 2350?
Answer:
Least Common Multiple of 2342 and 2350 = 2751850
Step 1: Find the prime factorization of 2342
2342 = 2 x 1171
Step 2: Find the prime factorization of 2350
2350 = 2 x 5 x 5 x 47
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 2751850 = 2 x 5 x 5 x 47 x 1171
Step 4: Therefore, the least common multiple of 2342 and 2350 is 2751850.