Least Common Multiple of 220 and 226

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 220 and 226 the smallest integer that is 24860 that is divisible by both numbers.

Least Common Multiple (LCM) of 220 and 226 is 24860.

LCM(220,226) = 24860

LCM of 220 and 226

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

LCM of:
and

Least Common Multiple of 220 and 226

LCM of 220 and 226 is 24860

Least common multiple can be found by multiplying the highest exponent prime factors of 220 and 226. First we will calculate the prime factors of 220 and 226.

Prime Factorization of 220


2 220
2 110
5 55
11 11
1

Prime factors of 220 are 2, 5,11. Prime factorization of 220 in exponential form is:

220 = 22×51×111

Prime Factorization of 226


2 226
113 113
1

Prime factors of 226 are 2,113. Prime factorization of 226 in exponential form is:

226 = 21×1131

Now multiplying the highest exponent prime factors to calculate the LCM of 220 and 226.

LCM(220,226) = 22×51×111×1131
LCM(220,226) = 24860

Factors of 220

List of positive integer factors of 220 that divides 220 without a remainder.

1, 2, 4, 5, 10, 11, 20, 22, 44, 55, 110, 220

Factors of 226

List of positive integer factors of 226 that divides 226 without a remainder.

1, 2, 113, 226

Least Common Multiple of 220 and 226 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 220 and 226, than apply into the LCM equation.

GCF(220,226) = 2
LCM(220,226) = ( 220 × 226) / 2
LCM(220,226) = 49720 / 2
LCM(220,226) = 24860

Properties of LCM 220 and 226

(i) The LCM of 226 and 220 is associative

LCM of 220 and 226 = LCM of 226 and 220

Related Least Common Multiples of 220

Related Least Common Multiples of 226

Frequently Asked Questions on LCM of 220 and 226

1. What is the LCM of 220 and 226?

Answer: LCM of 220 and 226 is 24860.

2. What are the Factors of 220?

Answer: Factors of 220 are 1, 2, 4, 5, 10, 11, 20, 22, 44, 55, 110, 220. There are 12 integers that are factors of 220. The greatest factor of 220 is 220.

3. What are the Factors of 226?

Answer: Factors of 226 are 1, 2, 113, 226. There are 4 integers that are factors of 226. The greatest factor of 226 is 226.

4. How to Find the LCM of 220 and 226?

Answer:

Least Common Multiple of 220 and 226 = 24860

Step 1: Find the prime factorization of 220

220 = 2 x 2 x 5 x 11

Step 2: Find the prime factorization of 226

226 = 2 x 113

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

LCM = 24860 = 2 x 2 x 5 x 11 x 113

Step 4: Therefore, the least common multiple of 220 and 226 is 24860.