Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 2612 and 2616 the smallest integer that is 1708248 that is divisible by both numbers.
Least Common Multiple (LCM) of 2612 and 2616 is 1708248.
LCM(2612,2616) = 1708248
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 2612 and 2616. First we will calculate the prime factors of 2612 and 2616.
Prime Factorization of 2612
2 | 2612 |
2 | 1306 |
653 | 653 |
1 |
Prime factors of 2612 are 2,653. Prime factorization of 2612 in exponential form is:
2612 = 22×6531
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
Now multiplying the highest exponent prime factors to calculate the LCM of 2612 and 2616.
LCM(2612,2616) = 23×31×1091×6531
LCM(2612,2616) = 1708248
Factors of 2612
List of positive integer factors of 2612 that divides 2612 without a remainder.
1, 2, 4, 653, 1306, 2612
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
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 2612 and 2616, than apply into the LCM equation.
GCF(2612,2616) = 4
LCM(2612,2616) = ( 2612 × 2616) / 4
LCM(2612,2616) = 6832992 / 4
LCM(2612,2616) = 1708248
(i) The LCM of 2616 and 2612 is associative
LCM of 2612 and 2616 = LCM of 2616 and 2612
1. What is the LCM of 2612 and 2616?
Answer: LCM of 2612 and 2616 is 1708248.
2. What are the Factors of 2612?
Answer: Factors of 2612 are 1, 2, 4, 653, 1306, 2612. There are 6 integers that are factors of 2612. The greatest factor of 2612 is 2612.
3. 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.
4. How to Find the LCM of 2612 and 2616?
Answer:
Least Common Multiple of 2612 and 2616 = 1708248
Step 1: Find the prime factorization of 2612
2612 = 2 x 2 x 653
Step 2: Find the prime factorization of 2616
2616 = 2 x 2 x 2 x 3 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 = 1708248 = 2 x 2 x 2 x 3 x 109 x 653
Step 4: Therefore, the least common multiple of 2612 and 2616 is 1708248.