Least Common Multiple of 6220 and 6224

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 6220 and 6224 the smallest integer that is 9678320 that is divisible by both numbers.

Least Common Multiple (LCM) of 6220 and 6224 is 9678320.

LCM(6220,6224) = 9678320

LCM of 6220 and 6224

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

LCM of:
and

Least Common Multiple of 6220 and 6224

LCM of 6220 and 6224 is 9678320

Least common multiple can be found by multiplying the highest exponent prime factors of 6220 and 6224. First we will calculate the prime factors of 6220 and 6224.

Prime Factorization of 6220


2 6220
2 3110
5 1555
311 311
1

Prime factors of 6220 are 2, 5,311. Prime factorization of 6220 in exponential form is:

6220 = 22×51×3111

Prime Factorization of 6224


2 6224
2 3112
2 1556
2 778
389 389
1

Prime factors of 6224 are 2,389. Prime factorization of 6224 in exponential form is:

6224 = 24×3891

Now multiplying the highest exponent prime factors to calculate the LCM of 6220 and 6224.

LCM(6220,6224) = 24×51×3111×3891
LCM(6220,6224) = 9678320

Factors of 6220

List of positive integer factors of 6220 that divides 6220 without a remainder.

1, 2, 4, 5, 10, 20, 311, 622, 1244, 1555, 3110, 6220

Factors of 6224

List of positive integer factors of 6224 that divides 6224 without a remainder.

1, 2, 4, 8, 16, 389, 778, 1556, 3112, 6224

Least Common Multiple of 6220 and 6224 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 6220 and 6224, than apply into the LCM equation.

GCF(6220,6224) = 4
LCM(6220,6224) = ( 6220 × 6224) / 4
LCM(6220,6224) = 38713280 / 4
LCM(6220,6224) = 9678320

Properties of LCM 6220 and 6224

(i) The LCM of 6224 and 6220 is associative

LCM of 6220 and 6224 = LCM of 6224 and 6220

Related Least Common Multiples of 6220

Related Least Common Multiples of 6224

Frequently Asked Questions on LCM of 6220 and 6224

1. What is the LCM of 6220 and 6224?

Answer: LCM of 6220 and 6224 is 9678320.

2. What are the Factors of 6220?

Answer: Factors of 6220 are 1, 2, 4, 5, 10, 20, 311, 622, 1244, 1555, 3110, 6220. There are 12 integers that are factors of 6220. The greatest factor of 6220 is 6220.

3. What are the Factors of 6224?

Answer: Factors of 6224 are 1, 2, 4, 8, 16, 389, 778, 1556, 3112, 6224. There are 10 integers that are factors of 6224. The greatest factor of 6224 is 6224.

4. How to Find the LCM of 6220 and 6224?

Answer:

Least Common Multiple of 6220 and 6224 = 9678320

Step 1: Find the prime factorization of 6220

6220 = 2 x 2 x 5 x 311

Step 2: Find the prime factorization of 6224

6224 = 2 x 2 x 2 x 2 x 389

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

LCM = 9678320 = 2 x 2 x 2 x 2 x 5 x 311 x 389

Step 4: Therefore, the least common multiple of 6220 and 6224 is 9678320.