Least Common Multiple of 4214 and 4222

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 4214 and 4222 the smallest integer that is 8895754 that is divisible by both numbers.

Least Common Multiple (LCM) of 4214 and 4222 is 8895754.

LCM(4214,4222) = 8895754

LCM of 4214 and 4222

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

LCM of:
and

Least Common Multiple of 4214 and 4222

LCM of 4214 and 4222 is 8895754

Least common multiple can be found by multiplying the highest exponent prime factors of 4214 and 4222. First we will calculate the prime factors of 4214 and 4222.

Prime Factorization of 4214


2 4214
7 2107
7 301
43 43
1

Prime factors of 4214 are 2, 7,43. Prime factorization of 4214 in exponential form is:

4214 = 21×72×431

Prime Factorization of 4222


2 4222
2111 2111
1

Prime factors of 4222 are 2,2111. Prime factorization of 4222 in exponential form is:

4222 = 21×21111

Now multiplying the highest exponent prime factors to calculate the LCM of 4214 and 4222.

LCM(4214,4222) = 21×72×431×21111
LCM(4214,4222) = 8895754

Factors of 4214

List of positive integer factors of 4214 that divides 4214 without a remainder.

1, 2, 7, 14, 43, 49, 86, 98, 301, 602, 2107, 4214

Factors of 4222

List of positive integer factors of 4222 that divides 4222 without a remainder.

1, 2, 2111, 4222

Least Common Multiple of 4214 and 4222 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 4214 and 4222, than apply into the LCM equation.

GCF(4214,4222) = 2
LCM(4214,4222) = ( 4214 × 4222) / 2
LCM(4214,4222) = 17791508 / 2
LCM(4214,4222) = 8895754

Properties of LCM 4214 and 4222

(i) The LCM of 4222 and 4214 is associative

LCM of 4214 and 4222 = LCM of 4222 and 4214

Related Least Common Multiples of 4214

Related Least Common Multiples of 4222

Frequently Asked Questions on LCM of 4214 and 4222

1. What is the LCM of 4214 and 4222?

Answer: LCM of 4214 and 4222 is 8895754.

2. What are the Factors of 4214?

Answer: Factors of 4214 are 1, 2, 7, 14, 43, 49, 86, 98, 301, 602, 2107, 4214. There are 12 integers that are factors of 4214. The greatest factor of 4214 is 4214.

3. What are the Factors of 4222?

Answer: Factors of 4222 are 1, 2, 2111, 4222. There are 4 integers that are factors of 4222. The greatest factor of 4222 is 4222.

4. How to Find the LCM of 4214 and 4222?

Answer:

Least Common Multiple of 4214 and 4222 = 8895754

Step 1: Find the prime factorization of 4214

4214 = 2 x 7 x 7 x 43

Step 2: Find the prime factorization of 4222

4222 = 2 x 2111

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

LCM = 8895754 = 2 x 7 x 7 x 43 x 2111

Step 4: Therefore, the least common multiple of 4214 and 4222 is 8895754.