Least Common Multiple of 215 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 215 and 220 the smallest integer that is 9460 that is divisible by both numbers.

Least Common Multiple (LCM) of 215 and 220 is 9460.

LCM(215,220) = 9460

LCM of 215 and 220

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

LCM of:
and

Least Common Multiple of 215 and 220

LCM of 215 and 220 is 9460

Least common multiple can be found by multiplying the highest exponent prime factors of 215 and 220. First we will calculate the prime factors of 215 and 220.

Prime Factorization of 215


5 215
43 43
1

Prime factors of 215 are 5,43. Prime factorization of 215 in exponential form is:

215 = 51×431

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 215 and 220.

LCM(215,220) = 22×51×111×431
LCM(215,220) = 9460

Factors of 215

List of positive integer factors of 215 that divides 215 without a remainder.

1, 5, 43, 215

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 215 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 215 and 220, than apply into the LCM equation.

GCF(215,220) = 5
LCM(215,220) = ( 215 × 220) / 5
LCM(215,220) = 47300 / 5
LCM(215,220) = 9460

Properties of LCM 215 and 220

(i) The LCM of 220 and 215 is associative

LCM of 215 and 220 = LCM of 220 and 215

Related Least Common Multiples of 215

Related Least Common Multiples of 220

Frequently Asked Questions on LCM of 215 and 220

1. What is the LCM of 215 and 220?

Answer: LCM of 215 and 220 is 9460.

2. What are the Factors of 215?

Answer: Factors of 215 are 1, 5, 43, 215. There are 4 integers that are factors of 215. The greatest factor of 215 is 215.

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 215 and 220?

Answer:

Least Common Multiple of 215 and 220 = 9460

Step 1: Find the prime factorization of 215

215 = 5 x 43

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 = 9460 = 2 x 2 x 5 x 11 x 43

Step 4: Therefore, the least common multiple of 215 and 220 is 9460.