Least Common Multiple of 220 and 227

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 227 the smallest integer that is 49940 that is divisible by both numbers.

Least Common Multiple (LCM) of 220 and 227 is 49940.

LCM(220,227) = 49940

LCM of 220 and 227

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

LCM of:
and

Least Common Multiple of 220 and 227

LCM of 220 and 227 is 49940

Least common multiple can be found by multiplying the highest exponent prime factors of 220 and 227. First we will calculate the prime factors of 220 and 227.

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 227


227 227
1

Prime factors of 227 are 227. Prime factorization of 227 in exponential form is:

227 = 2271

Now multiplying the highest exponent prime factors to calculate the LCM of 220 and 227.

LCM(220,227) = 22×51×111×2271
LCM(220,227) = 49940

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 227

List of positive integer factors of 227 that divides 227 without a remainder.

1, 227

Least Common Multiple of 220 and 227 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 227, than apply into the LCM equation.

GCF(220,227) = 1
LCM(220,227) = ( 220 × 227) / 1
LCM(220,227) = 49940 / 1
LCM(220,227) = 49940

Properties of LCM 220 and 227

(i) The LCM of 227 and 220 is associative

LCM of 220 and 227 = LCM of 227 and 220

Related Least Common Multiples of 220

Related Least Common Multiples of 227

Frequently Asked Questions on LCM of 220 and 227

1. What is the LCM of 220 and 227?

Answer: LCM of 220 and 227 is 49940.

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 227?

Answer: Factors of 227 are 1, 227. There are 2 integers that are factors of 227. The greatest factor of 227 is 227.

4. How to Find the LCM of 220 and 227?

Answer:

Least Common Multiple of 220 and 227 = 49940

Step 1: Find the prime factorization of 220

220 = 2 x 2 x 5 x 11

Step 2: Find the prime factorization of 227

227 = 227

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

LCM = 49940 = 2 x 2 x 5 x 11 x 227

Step 4: Therefore, the least common multiple of 220 and 227 is 49940.