Least Common Multiple of 4220 and 4226

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 4226 the smallest integer that is 8916860 that is divisible by both numbers.

Least Common Multiple (LCM) of 4220 and 4226 is 8916860.

LCM(4220,4226) = 8916860

LCM of 4220 and 4226

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

LCM of:
and

Least Common Multiple of 4220 and 4226

LCM of 4220 and 4226 is 8916860

Least common multiple can be found by multiplying the highest exponent prime factors of 4220 and 4226. First we will calculate the prime factors of 4220 and 4226.

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 4226


2 4226
2113 2113
1

Prime factors of 4226 are 2,2113. Prime factorization of 4226 in exponential form is:

4226 = 21×21131

Now multiplying the highest exponent prime factors to calculate the LCM of 4220 and 4226.

LCM(4220,4226) = 22×51×2111×21131
LCM(4220,4226) = 8916860

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 4226

List of positive integer factors of 4226 that divides 4226 without a remainder.

1, 2, 2113, 4226

Least Common Multiple of 4220 and 4226 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 4226, than apply into the LCM equation.

GCF(4220,4226) = 2
LCM(4220,4226) = ( 4220 × 4226) / 2
LCM(4220,4226) = 17833720 / 2
LCM(4220,4226) = 8916860

Properties of LCM 4220 and 4226

(i) The LCM of 4226 and 4220 is associative

LCM of 4220 and 4226 = LCM of 4226 and 4220

Related Least Common Multiples of 4220

Related Least Common Multiples of 4226

Frequently Asked Questions on LCM of 4220 and 4226

1. What is the LCM of 4220 and 4226?

Answer: LCM of 4220 and 4226 is 8916860.

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 4226?

Answer: Factors of 4226 are 1, 2, 2113, 4226. There are 4 integers that are factors of 4226. The greatest factor of 4226 is 4226.

4. How to Find the LCM of 4220 and 4226?

Answer:

Least Common Multiple of 4220 and 4226 = 8916860

Step 1: Find the prime factorization of 4220

4220 = 2 x 2 x 5 x 211

Step 2: Find the prime factorization of 4226

4226 = 2 x 2113

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

LCM = 8916860 = 2 x 2 x 5 x 211 x 2113

Step 4: Therefore, the least common multiple of 4220 and 4226 is 8916860.