Least Common Multiple of 213 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 213 and 220 the smallest integer that is 46860 that is divisible by both numbers.

Least Common Multiple (LCM) of 213 and 220 is 46860.

LCM(213,220) = 46860

LCM of 213 and 220

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

LCM of:
and

Least Common Multiple of 213 and 220

LCM of 213 and 220 is 46860

Least common multiple can be found by multiplying the highest exponent prime factors of 213 and 220. First we will calculate the prime factors of 213 and 220.

Prime Factorization of 213


3 213
71 71
1

Prime factors of 213 are 3,71. Prime factorization of 213 in exponential form is:

213 = 31×711

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 213 and 220.

LCM(213,220) = 22×31×51×111×711
LCM(213,220) = 46860

Factors of 213

List of positive integer factors of 213 that divides 213 without a remainder.

1, 3, 71, 213

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 213 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 213 and 220, than apply into the LCM equation.

GCF(213,220) = 1
LCM(213,220) = ( 213 × 220) / 1
LCM(213,220) = 46860 / 1
LCM(213,220) = 46860

Properties of LCM 213 and 220

(i) The LCM of 220 and 213 is associative

LCM of 213 and 220 = LCM of 220 and 213

Related Least Common Multiples of 213

Related Least Common Multiples of 220

Frequently Asked Questions on LCM of 213 and 220

1. What is the LCM of 213 and 220?

Answer: LCM of 213 and 220 is 46860.

2. What are the Factors of 213?

Answer: Factors of 213 are 1, 3, 71, 213. There are 4 integers that are factors of 213. The greatest factor of 213 is 213.

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 213 and 220?

Answer:

Least Common Multiple of 213 and 220 = 46860

Step 1: Find the prime factorization of 213

213 = 3 x 71

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 = 46860 = 2 x 2 x 3 x 5 x 11 x 71

Step 4: Therefore, the least common multiple of 213 and 220 is 46860.