Least Common Multiple of 616 and 620

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 616 and 620 the smallest integer that is 95480 that is divisible by both numbers.

Least Common Multiple (LCM) of 616 and 620 is 95480.

LCM(616,620) = 95480

LCM of 616 and 620

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

LCM of:
and

Least Common Multiple of 616 and 620

LCM of 616 and 620 is 95480

Least common multiple can be found by multiplying the highest exponent prime factors of 616 and 620. First we will calculate the prime factors of 616 and 620.

Prime Factorization of 616


2 616
2 308
2 154
7 77
11 11
1

Prime factors of 616 are 2, 7,11. Prime factorization of 616 in exponential form is:

616 = 23×71×111

Prime Factorization of 620


2 620
2 310
5 155
31 31
1

Prime factors of 620 are 2, 5,31. Prime factorization of 620 in exponential form is:

620 = 22×51×311

Now multiplying the highest exponent prime factors to calculate the LCM of 616 and 620.

LCM(616,620) = 23×51×71×111×311
LCM(616,620) = 95480

Factors of 616

List of positive integer factors of 616 that divides 616 without a remainder.

1, 2, 4, 7, 8, 11, 14, 22, 28, 44, 56, 77, 88, 154, 308, 616

Factors of 620

List of positive integer factors of 620 that divides 620 without a remainder.

1, 2, 4, 5, 10, 20, 31, 62, 124, 155, 310, 620

Least Common Multiple of 616 and 620 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 616 and 620, than apply into the LCM equation.

GCF(616,620) = 4
LCM(616,620) = ( 616 × 620) / 4
LCM(616,620) = 381920 / 4
LCM(616,620) = 95480

Properties of LCM 616 and 620

(i) The LCM of 620 and 616 is associative

LCM of 616 and 620 = LCM of 620 and 616

Related Least Common Multiples of 616

Related Least Common Multiples of 620

Frequently Asked Questions on LCM of 616 and 620

1. What is the LCM of 616 and 620?

Answer: LCM of 616 and 620 is 95480.

2. What are the Factors of 616?

Answer: Factors of 616 are 1, 2, 4, 7, 8, 11, 14, 22, 28, 44, 56, 77, 88, 154, 308, 616. There are 16 integers that are factors of 616. The greatest factor of 616 is 616.

3. What are the Factors of 620?

Answer: Factors of 620 are 1, 2, 4, 5, 10, 20, 31, 62, 124, 155, 310, 620. There are 12 integers that are factors of 620. The greatest factor of 620 is 620.

4. How to Find the LCM of 616 and 620?

Answer:

Least Common Multiple of 616 and 620 = 95480

Step 1: Find the prime factorization of 616

616 = 2 x 2 x 2 x 7 x 11

Step 2: Find the prime factorization of 620

620 = 2 x 2 x 5 x 31

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

LCM = 95480 = 2 x 2 x 2 x 5 x 7 x 11 x 31

Step 4: Therefore, the least common multiple of 616 and 620 is 95480.