Least Common Multiple of 4213 and 4220

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 4213 and 4220 the smallest integer that is 17778860 that is divisible by both numbers.

Least Common Multiple (LCM) of 4213 and 4220 is 17778860.

LCM(4213,4220) = 17778860

LCM of 4213 and 4220

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

LCM of:
and

Least Common Multiple of 4213 and 4220

LCM of 4213 and 4220 is 17778860

Least common multiple can be found by multiplying the highest exponent prime factors of 4213 and 4220. First we will calculate the prime factors of 4213 and 4220.

Prime Factorization of 4213


11 4213
383 383
1

Prime factors of 4213 are 11,383. Prime factorization of 4213 in exponential form is:

4213 = 111×3831

Prime Factorization of 4220


2 4220
2 2110
5 1055
211 211
1

Prime factors of 4220 are 2, 5,211. Prime factorization of 4220 in exponential form is:

4220 = 22×51×2111

Now multiplying the highest exponent prime factors to calculate the LCM of 4213 and 4220.

LCM(4213,4220) = 22×51×111×2111×3831
LCM(4213,4220) = 17778860

Factors of 4213

List of positive integer factors of 4213 that divides 4213 without a remainder.

1, 11, 383, 4213

Factors of 4220

List of positive integer factors of 4220 that divides 4220 without a remainder.

1, 2, 4, 5, 10, 20, 211, 422, 844, 1055, 2110, 4220

Least Common Multiple of 4213 and 4220 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 4213 and 4220, than apply into the LCM equation.

GCF(4213,4220) = 1
LCM(4213,4220) = ( 4213 × 4220) / 1
LCM(4213,4220) = 17778860 / 1
LCM(4213,4220) = 17778860

Properties of LCM 4213 and 4220

(i) The LCM of 4220 and 4213 is associative

LCM of 4213 and 4220 = LCM of 4220 and 4213

Related Least Common Multiples of 4213

Related Least Common Multiples of 4220

Frequently Asked Questions on LCM of 4213 and 4220

1. What is the LCM of 4213 and 4220?

Answer: LCM of 4213 and 4220 is 17778860.

2. What are the Factors of 4213?

Answer: Factors of 4213 are 1, 11, 383, 4213. There are 4 integers that are factors of 4213. The greatest factor of 4213 is 4213.

3. What are the Factors of 4220?

Answer: Factors of 4220 are 1, 2, 4, 5, 10, 20, 211, 422, 844, 1055, 2110, 4220. There are 12 integers that are factors of 4220. The greatest factor of 4220 is 4220.

4. How to Find the LCM of 4213 and 4220?

Answer:

Least Common Multiple of 4213 and 4220 = 17778860

Step 1: Find the prime factorization of 4213

4213 = 11 x 383

Step 2: Find the prime factorization of 4220

4220 = 2 x 2 x 5 x 211

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

LCM = 17778860 = 2 x 2 x 5 x 11 x 211 x 383

Step 4: Therefore, the least common multiple of 4213 and 4220 is 17778860.