Least Common Multiple of 2616 and 2622

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 2622 the smallest integer that is 1143192 that is divisible by both numbers.

Least Common Multiple (LCM) of 2616 and 2622 is 1143192.

LCM(2616,2622) = 1143192

LCM of 2616 and 2622

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

LCM of:
and

Least Common Multiple of 2616 and 2622

LCM of 2616 and 2622 is 1143192

Least common multiple can be found by multiplying the highest exponent prime factors of 2616 and 2622. First we will calculate the prime factors of 2616 and 2622.

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 2622


2 2622
3 1311
19 437
23 23
1

Prime factors of 2622 are 2, 3, 19,23. Prime factorization of 2622 in exponential form is:

2622 = 21×31×191×231

Now multiplying the highest exponent prime factors to calculate the LCM of 2616 and 2622.

LCM(2616,2622) = 23×31×191×231×1091
LCM(2616,2622) = 1143192

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 2622

List of positive integer factors of 2622 that divides 2622 without a remainder.

1, 2, 3, 6, 19, 23, 38, 46, 57, 69, 114, 138, 437, 874, 1311, 2622

Least Common Multiple of 2616 and 2622 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 2616 and 2622, than apply into the LCM equation.

GCF(2616,2622) = 6
LCM(2616,2622) = ( 2616 × 2622) / 6
LCM(2616,2622) = 6859152 / 6
LCM(2616,2622) = 1143192

Properties of LCM 2616 and 2622

(i) The LCM of 2622 and 2616 is associative

LCM of 2616 and 2622 = LCM of 2622 and 2616

Related Least Common Multiples of 2616

Related Least Common Multiples of 2622

Frequently Asked Questions on LCM of 2616 and 2622

1. What is the LCM of 2616 and 2622?

Answer: LCM of 2616 and 2622 is 1143192.

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 2622?

Answer: Factors of 2622 are 1, 2, 3, 6, 19, 23, 38, 46, 57, 69, 114, 138, 437, 874, 1311, 2622. There are 16 integers that are factors of 2622. The greatest factor of 2622 is 2622.

4. How to Find the LCM of 2616 and 2622?

Answer:

Least Common Multiple of 2616 and 2622 = 1143192

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 2622

2622 = 2 x 3 x 19 x 23

Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:

LCM = 1143192 = 2 x 2 x 2 x 3 x 19 x 23 x 109

Step 4: Therefore, the least common multiple of 2616 and 2622 is 1143192.