Least Common Multiple of 2616 and 2620

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 2620 the smallest integer that is 1713480 that is divisible by both numbers.

Least Common Multiple (LCM) of 2616 and 2620 is 1713480.

LCM(2616,2620) = 1713480

LCM of 2616 and 2620

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

LCM of:
and

Least Common Multiple of 2616 and 2620

LCM of 2616 and 2620 is 1713480

Least common multiple can be found by multiplying the highest exponent prime factors of 2616 and 2620. First we will calculate the prime factors of 2616 and 2620.

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 2620


2 2620
2 1310
5 655
131 131
1

Prime factors of 2620 are 2, 5,131. Prime factorization of 2620 in exponential form is:

2620 = 22×51×1311

Now multiplying the highest exponent prime factors to calculate the LCM of 2616 and 2620.

LCM(2616,2620) = 23×31×51×1091×1311
LCM(2616,2620) = 1713480

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 2620

List of positive integer factors of 2620 that divides 2620 without a remainder.

1, 2, 4, 5, 10, 20, 131, 262, 524, 655, 1310, 2620

Least Common Multiple of 2616 and 2620 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 2620, than apply into the LCM equation.

GCF(2616,2620) = 4
LCM(2616,2620) = ( 2616 × 2620) / 4
LCM(2616,2620) = 6853920 / 4
LCM(2616,2620) = 1713480

Properties of LCM 2616 and 2620

(i) The LCM of 2620 and 2616 is associative

LCM of 2616 and 2620 = LCM of 2620 and 2616

Related Least Common Multiples of 2616

Related Least Common Multiples of 2620

Frequently Asked Questions on LCM of 2616 and 2620

1. What is the LCM of 2616 and 2620?

Answer: LCM of 2616 and 2620 is 1713480.

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 2620?

Answer: Factors of 2620 are 1, 2, 4, 5, 10, 20, 131, 262, 524, 655, 1310, 2620. There are 12 integers that are factors of 2620. The greatest factor of 2620 is 2620.

4. How to Find the LCM of 2616 and 2620?

Answer:

Least Common Multiple of 2616 and 2620 = 1713480

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 2620

2620 = 2 x 2 x 5 x 131

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

LCM = 1713480 = 2 x 2 x 2 x 3 x 5 x 109 x 131

Step 4: Therefore, the least common multiple of 2616 and 2620 is 1713480.