Least Common Multiple of 2614 and 2616

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 2614 and 2616 the smallest integer that is 3419112 that is divisible by both numbers.

Least Common Multiple (LCM) of 2614 and 2616 is 3419112.

LCM(2614,2616) = 3419112

LCM of 2614 and 2616

Least common multiple or lowest common denominator (LCD) can be calculated in three ways;

LCM of:
and

Least Common Multiple of 2614 and 2616

LCM of 2614 and 2616 is 3419112

Least common multiple can be found by multiplying the highest exponent prime factors of 2614 and 2616. First we will calculate the prime factors of 2614 and 2616.

Prime Factorization of 2614


2 2614
1307 1307
1

Prime factors of 2614 are 2,1307. Prime factorization of 2614 in exponential form is:

2614 = 21×13071

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 2614 and 2616.

LCM(2614,2616) = 23×31×1091×13071
LCM(2614,2616) = 3419112

Factors of 2614

List of positive integer factors of 2614 that divides 2614 without a remainder.

1, 2, 1307, 2614

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

Least Common Multiple of 2614 and 2616 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 2614 and 2616, than apply into the LCM equation.

GCF(2614,2616) = 2
LCM(2614,2616) = ( 2614 × 2616) / 2
LCM(2614,2616) = 6838224 / 2
LCM(2614,2616) = 3419112

Properties of LCM 2614 and 2616

(i) The LCM of 2616 and 2614 is associative

LCM of 2614 and 2616 = LCM of 2616 and 2614

Related Least Common Multiples of 2614

Related Least Common Multiples of 2616

Frequently Asked Questions on LCM of 2614 and 2616

1. What is the LCM of 2614 and 2616?

Answer: LCM of 2614 and 2616 is 3419112.

2. What are the Factors of 2614?

Answer: Factors of 2614 are 1, 2, 1307, 2614. There are 4 integers that are factors of 2614. The greatest factor of 2614 is 2614.

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 2614 and 2616?

Answer:

Least Common Multiple of 2614 and 2616 = 3419112

Step 1: Find the prime factorization of 2614

2614 = 2 x 1307

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 = 3419112 = 2 x 2 x 2 x 3 x 109 x 1307

Step 4: Therefore, the least common multiple of 2614 and 2616 is 3419112.