Least Common Multiple of 4220 and 4228

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 4220 and 4228 the smallest integer that is 4460540 that is divisible by both numbers.

Least Common Multiple (LCM) of 4220 and 4228 is 4460540.

LCM(4220,4228) = 4460540

LCM of 4220 and 4228

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

LCM of:
and

Least Common Multiple of 4220 and 4228

LCM of 4220 and 4228 is 4460540

Least common multiple can be found by multiplying the highest exponent prime factors of 4220 and 4228. First we will calculate the prime factors of 4220 and 4228.

Prime Factorization of 4220


2 4220
2 2110
5 1055
211 211
1

Prime factors of 4220 are 2, 5,211. Prime factorization of 4220 in exponential form is:

4220 = 22×51×2111

Prime Factorization of 4228


2 4228
2 2114
7 1057
151 151
1

Prime factors of 4228 are 2, 7,151. Prime factorization of 4228 in exponential form is:

4228 = 22×71×1511

Now multiplying the highest exponent prime factors to calculate the LCM of 4220 and 4228.

LCM(4220,4228) = 22×51×71×1511×2111
LCM(4220,4228) = 4460540

Factors of 4220

List of positive integer factors of 4220 that divides 4220 without a remainder.

1, 2, 4, 5, 10, 20, 211, 422, 844, 1055, 2110, 4220

Factors of 4228

List of positive integer factors of 4228 that divides 4228 without a remainder.

1, 2, 4, 7, 14, 28, 151, 302, 604, 1057, 2114, 4228

Least Common Multiple of 4220 and 4228 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 4220 and 4228, than apply into the LCM equation.

GCF(4220,4228) = 4
LCM(4220,4228) = ( 4220 × 4228) / 4
LCM(4220,4228) = 17842160 / 4
LCM(4220,4228) = 4460540

Properties of LCM 4220 and 4228

(i) The LCM of 4228 and 4220 is associative

LCM of 4220 and 4228 = LCM of 4228 and 4220

Related Least Common Multiples of 4220

Related Least Common Multiples of 4228

Frequently Asked Questions on LCM of 4220 and 4228

1. What is the LCM of 4220 and 4228?

Answer: LCM of 4220 and 4228 is 4460540.

2. What are the Factors of 4220?

Answer: Factors of 4220 are 1, 2, 4, 5, 10, 20, 211, 422, 844, 1055, 2110, 4220. There are 12 integers that are factors of 4220. The greatest factor of 4220 is 4220.

3. What are the Factors of 4228?

Answer: Factors of 4228 are 1, 2, 4, 7, 14, 28, 151, 302, 604, 1057, 2114, 4228. There are 12 integers that are factors of 4228. The greatest factor of 4228 is 4228.

4. How to Find the LCM of 4220 and 4228?

Answer:

Least Common Multiple of 4220 and 4228 = 4460540

Step 1: Find the prime factorization of 4220

4220 = 2 x 2 x 5 x 211

Step 2: Find the prime factorization of 4228

4228 = 2 x 2 x 7 x 151

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

LCM = 4460540 = 2 x 2 x 5 x 7 x 151 x 211

Step 4: Therefore, the least common multiple of 4220 and 4228 is 4460540.