Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 2602 and 2606 the smallest integer that is 3390406 that is divisible by both numbers.
Least Common Multiple (LCM) of 2602 and 2606 is 3390406.
LCM(2602,2606) = 3390406
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 2602 and 2606. First we will calculate the prime factors of 2602 and 2606.
Prime Factorization of 2602
2 | 2602 |
1301 | 1301 |
1 |
Prime factors of 2602 are 2,1301. Prime factorization of 2602 in exponential form is:
2602 = 21×13011
Prime Factorization of 2606
2 | 2606 |
1303 | 1303 |
1 |
Prime factors of 2606 are 2,1303. Prime factorization of 2606 in exponential form is:
2606 = 21×13031
Now multiplying the highest exponent prime factors to calculate the LCM of 2602 and 2606.
LCM(2602,2606) = 21×13011×13031
LCM(2602,2606) = 3390406
Factors of 2602
List of positive integer factors of 2602 that divides 2602 without a remainder.
1, 2, 1301, 2602
Factors of 2606
List of positive integer factors of 2606 that divides 2606 without a remainder.
1, 2, 1303, 2606
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 2602 and 2606, than apply into the LCM equation.
GCF(2602,2606) = 2
LCM(2602,2606) = ( 2602 × 2606) / 2
LCM(2602,2606) = 6780812 / 2
LCM(2602,2606) = 3390406
(i) The LCM of 2606 and 2602 is associative
LCM of 2602 and 2606 = LCM of 2606 and 2602
1. What is the LCM of 2602 and 2606?
Answer: LCM of 2602 and 2606 is 3390406.
2. What are the Factors of 2602?
Answer: Factors of 2602 are 1, 2, 1301, 2602. There are 4 integers that are factors of 2602. The greatest factor of 2602 is 2602.
3. What are the Factors of 2606?
Answer: Factors of 2606 are 1, 2, 1303, 2606. There are 4 integers that are factors of 2606. The greatest factor of 2606 is 2606.
4. How to Find the LCM of 2602 and 2606?
Answer:
Least Common Multiple of 2602 and 2606 = 3390406
Step 1: Find the prime factorization of 2602
2602 = 2 x 1301
Step 2: Find the prime factorization of 2606
2606 = 2 x 1303
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 3390406 = 2 x 1301 x 1303
Step 4: Therefore, the least common multiple of 2602 and 2606 is 3390406.