Least Common Multiple of 217 and 220

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 217 and 220 the smallest integer that is 47740 that is divisible by both numbers.

Least Common Multiple (LCM) of 217 and 220 is 47740.

LCM(217,220) = 47740

LCM of 217 and 220

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

LCM of:
and

Least Common Multiple of 217 and 220

LCM of 217 and 220 is 47740

Least common multiple can be found by multiplying the highest exponent prime factors of 217 and 220. First we will calculate the prime factors of 217 and 220.

Prime Factorization of 217


7 217
31 31
1

Prime factors of 217 are 7,31. Prime factorization of 217 in exponential form is:

217 = 71×311

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

Now multiplying the highest exponent prime factors to calculate the LCM of 217 and 220.

LCM(217,220) = 22×51×71×111×311
LCM(217,220) = 47740

Factors of 217

List of positive integer factors of 217 that divides 217 without a remainder.

1, 7, 31, 217

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

Least Common Multiple of 217 and 220 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 217 and 220, than apply into the LCM equation.

GCF(217,220) = 1
LCM(217,220) = ( 217 × 220) / 1
LCM(217,220) = 47740 / 1
LCM(217,220) = 47740

Properties of LCM 217 and 220

(i) The LCM of 220 and 217 is associative

LCM of 217 and 220 = LCM of 220 and 217

Related Least Common Multiples of 217

Related Least Common Multiples of 220

Frequently Asked Questions on LCM of 217 and 220

1. What is the LCM of 217 and 220?

Answer: LCM of 217 and 220 is 47740.

2. What are the Factors of 217?

Answer: Factors of 217 are 1, 7, 31, 217. There are 4 integers that are factors of 217. The greatest factor of 217 is 217.

3. 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.

4. How to Find the LCM of 217 and 220?

Answer:

Least Common Multiple of 217 and 220 = 47740

Step 1: Find the prime factorization of 217

217 = 7 x 31

Step 2: Find the prime factorization of 220

220 = 2 x 2 x 5 x 11

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

LCM = 47740 = 2 x 2 x 5 x 7 x 11 x 31

Step 4: Therefore, the least common multiple of 217 and 220 is 47740.