Least Common Multiple of 6620 and 6624

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 6620 and 6624 the smallest integer that is 10962720 that is divisible by both numbers.

Least Common Multiple (LCM) of 6620 and 6624 is 10962720.

LCM(6620,6624) = 10962720

LCM of 6620 and 6624

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

LCM of:
and

Least Common Multiple of 6620 and 6624

LCM of 6620 and 6624 is 10962720

Least common multiple can be found by multiplying the highest exponent prime factors of 6620 and 6624. First we will calculate the prime factors of 6620 and 6624.

Prime Factorization of 6620


2 6620
2 3310
5 1655
331 331
1

Prime factors of 6620 are 2, 5,331. Prime factorization of 6620 in exponential form is:

6620 = 22×51×3311

Prime Factorization of 6624


2 6624
2 3312
2 1656
2 828
2 414
3 207
3 69
23 23
1

Prime factors of 6624 are 2, 3,23. Prime factorization of 6624 in exponential form is:

6624 = 25×32×231

Now multiplying the highest exponent prime factors to calculate the LCM of 6620 and 6624.

LCM(6620,6624) = 25×32×51×231×3311
LCM(6620,6624) = 10962720

Factors of 6620

List of positive integer factors of 6620 that divides 6620 without a remainder.

1, 2, 4, 5, 10, 20, 331, 662, 1324, 1655, 3310, 6620

Factors of 6624

List of positive integer factors of 6624 that divides 6624 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 23, 24, 32, 36, 46, 48, 69, 72, 92, 96, 138, 144, 184, 207, 276, 288, 368, 414, 552, 736, 828, 1104, 1656, 2208, 3312, 6624

Least Common Multiple of 6620 and 6624 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 6620 and 6624, than apply into the LCM equation.

GCF(6620,6624) = 4
LCM(6620,6624) = ( 6620 × 6624) / 4
LCM(6620,6624) = 43850880 / 4
LCM(6620,6624) = 10962720

Properties of LCM 6620 and 6624

(i) The LCM of 6624 and 6620 is associative

LCM of 6620 and 6624 = LCM of 6624 and 6620

Related Least Common Multiples of 6620

Related Least Common Multiples of 6624

Frequently Asked Questions on LCM of 6620 and 6624

1. What is the LCM of 6620 and 6624?

Answer: LCM of 6620 and 6624 is 10962720.

2. What are the Factors of 6620?

Answer: Factors of 6620 are 1, 2, 4, 5, 10, 20, 331, 662, 1324, 1655, 3310, 6620. There are 12 integers that are factors of 6620. The greatest factor of 6620 is 6620.

3. What are the Factors of 6624?

Answer: Factors of 6624 are 1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 23, 24, 32, 36, 46, 48, 69, 72, 92, 96, 138, 144, 184, 207, 276, 288, 368, 414, 552, 736, 828, 1104, 1656, 2208, 3312, 6624. There are 36 integers that are factors of 6624. The greatest factor of 6624 is 6624.

4. How to Find the LCM of 6620 and 6624?

Answer:

Least Common Multiple of 6620 and 6624 = 10962720

Step 1: Find the prime factorization of 6620

6620 = 2 x 2 x 5 x 331

Step 2: Find the prime factorization of 6624

6624 = 2 x 2 x 2 x 2 x 2 x 3 x 3 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 = 10962720 = 2 x 2 x 2 x 2 x 2 x 3 x 3 x 5 x 23 x 331

Step 4: Therefore, the least common multiple of 6620 and 6624 is 10962720.