Least Common Multiple of 4214 and 4215

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 4215 the smallest integer that is 17762010 that is divisible by both numbers.

Least Common Multiple (LCM) of 4214 and 4215 is 17762010.

LCM(4214,4215) = 17762010

LCM of 4214 and 4215

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

LCM of:
and

Least Common Multiple of 4214 and 4215

LCM of 4214 and 4215 is 17762010

Least common multiple can be found by multiplying the highest exponent prime factors of 4214 and 4215. First we will calculate the prime factors of 4214 and 4215.

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 4215


3 4215
5 1405
281 281
1

Prime factors of 4215 are 3, 5,281. Prime factorization of 4215 in exponential form is:

4215 = 31×51×2811

Now multiplying the highest exponent prime factors to calculate the LCM of 4214 and 4215.

LCM(4214,4215) = 21×31×51×72×431×2811
LCM(4214,4215) = 17762010

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 4215

List of positive integer factors of 4215 that divides 4215 without a remainder.

1, 3, 5, 15, 281, 843, 1405, 4215

Least Common Multiple of 4214 and 4215 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 4215, than apply into the LCM equation.

GCF(4214,4215) = 1
LCM(4214,4215) = ( 4214 × 4215) / 1
LCM(4214,4215) = 17762010 / 1
LCM(4214,4215) = 17762010

Properties of LCM 4214 and 4215

(i) The LCM of 4215 and 4214 is associative

LCM of 4214 and 4215 = LCM of 4215 and 4214

Related Least Common Multiples of 4214

Related Least Common Multiples of 4215

Frequently Asked Questions on LCM of 4214 and 4215

1. What is the LCM of 4214 and 4215?

Answer: LCM of 4214 and 4215 is 17762010.

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 4215?

Answer: Factors of 4215 are 1, 3, 5, 15, 281, 843, 1405, 4215. There are 8 integers that are factors of 4215. The greatest factor of 4215 is 4215.

4. How to Find the LCM of 4214 and 4215?

Answer:

Least Common Multiple of 4214 and 4215 = 17762010

Step 1: Find the prime factorization of 4214

4214 = 2 x 7 x 7 x 43

Step 2: Find the prime factorization of 4215

4215 = 3 x 5 x 281

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

LCM = 17762010 = 2 x 3 x 5 x 7 x 7 x 43 x 281

Step 4: Therefore, the least common multiple of 4214 and 4215 is 17762010.