Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 2616 and 2623 the smallest integer that is 6861768 that is divisible by both numbers.
Least Common Multiple (LCM) of 2616 and 2623 is 6861768.
LCM(2616,2623) = 6861768
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 2616 and 2623. First we will calculate the prime factors of 2616 and 2623.
Prime Factorization of 2616
2 | 2616 |
2 | 1308 |
2 | 654 |
3 | 327 |
109 | 109 |
1 |
Prime factors of 2616 are 2, 3,109. Prime factorization of 2616 in exponential form is:
2616 = 23×31×1091
Prime Factorization of 2623
43 | 2623 |
61 | 61 |
1 |
Prime factors of 2623 are 43,61. Prime factorization of 2623 in exponential form is:
2623 = 431×611
Now multiplying the highest exponent prime factors to calculate the LCM of 2616 and 2623.
LCM(2616,2623) = 23×31×431×611×1091
LCM(2616,2623) = 6861768
Factors of 2616
List of positive integer factors of 2616 that divides 2616 without a remainder.
1, 2, 3, 4, 6, 8, 12, 24, 109, 218, 327, 436, 654, 872, 1308, 2616
Factors of 2623
List of positive integer factors of 2623 that divides 2623 without a remainder.
1, 43, 61, 2623
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 2616 and 2623, than apply into the LCM equation.
GCF(2616,2623) = 1
LCM(2616,2623) = ( 2616 × 2623) / 1
LCM(2616,2623) = 6861768 / 1
LCM(2616,2623) = 6861768
(i) The LCM of 2623 and 2616 is associative
LCM of 2616 and 2623 = LCM of 2623 and 2616
1. What is the LCM of 2616 and 2623?
Answer: LCM of 2616 and 2623 is 6861768.
2. What are the Factors of 2616?
Answer: Factors of 2616 are 1, 2, 3, 4, 6, 8, 12, 24, 109, 218, 327, 436, 654, 872, 1308, 2616. There are 16 integers that are factors of 2616. The greatest factor of 2616 is 2616.
3. What are the Factors of 2623?
Answer: Factors of 2623 are 1, 43, 61, 2623. There are 4 integers that are factors of 2623. The greatest factor of 2623 is 2623.
4. How to Find the LCM of 2616 and 2623?
Answer:
Least Common Multiple of 2616 and 2623 = 6861768
Step 1: Find the prime factorization of 2616
2616 = 2 x 2 x 2 x 3 x 109
Step 2: Find the prime factorization of 2623
2623 = 43 x 61
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 6861768 = 2 x 2 x 2 x 3 x 43 x 61 x 109
Step 4: Therefore, the least common multiple of 2616 and 2623 is 6861768.