Least Common Multiple of 4209 and 4216

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 4209 and 4216 the smallest integer that is 17745144 that is divisible by both numbers.

Least Common Multiple (LCM) of 4209 and 4216 is 17745144.

LCM(4209,4216) = 17745144

LCM of 4209 and 4216

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

LCM of:
and

Least Common Multiple of 4209 and 4216

LCM of 4209 and 4216 is 17745144

Least common multiple can be found by multiplying the highest exponent prime factors of 4209 and 4216. First we will calculate the prime factors of 4209 and 4216.

Prime Factorization of 4209


3 4209
23 1403
61 61
1

Prime factors of 4209 are 3, 23,61. Prime factorization of 4209 in exponential form is:

4209 = 31×231×611

Prime Factorization of 4216


2 4216
2 2108
2 1054
17 527
31 31
1

Prime factors of 4216 are 2, 17,31. Prime factorization of 4216 in exponential form is:

4216 = 23×171×311

Now multiplying the highest exponent prime factors to calculate the LCM of 4209 and 4216.

LCM(4209,4216) = 23×31×171×231×311×611
LCM(4209,4216) = 17745144

Factors of 4209

List of positive integer factors of 4209 that divides 4209 without a remainder.

1, 3, 23, 61, 69, 183, 1403, 4209

Factors of 4216

List of positive integer factors of 4216 that divides 4216 without a remainder.

1, 2, 4, 8, 17, 31, 34, 62, 68, 124, 136, 248, 527, 1054, 2108, 4216

Least Common Multiple of 4209 and 4216 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 4209 and 4216, than apply into the LCM equation.

GCF(4209,4216) = 1
LCM(4209,4216) = ( 4209 × 4216) / 1
LCM(4209,4216) = 17745144 / 1
LCM(4209,4216) = 17745144

Properties of LCM 4209 and 4216

(i) The LCM of 4216 and 4209 is associative

LCM of 4209 and 4216 = LCM of 4216 and 4209

Related Least Common Multiples of 4209

Related Least Common Multiples of 4216

Frequently Asked Questions on LCM of 4209 and 4216

1. What is the LCM of 4209 and 4216?

Answer: LCM of 4209 and 4216 is 17745144.

2. What are the Factors of 4209?

Answer: Factors of 4209 are 1, 3, 23, 61, 69, 183, 1403, 4209. There are 8 integers that are factors of 4209. The greatest factor of 4209 is 4209.

3. What are the Factors of 4216?

Answer: Factors of 4216 are 1, 2, 4, 8, 17, 31, 34, 62, 68, 124, 136, 248, 527, 1054, 2108, 4216. There are 16 integers that are factors of 4216. The greatest factor of 4216 is 4216.

4. How to Find the LCM of 4209 and 4216?

Answer:

Least Common Multiple of 4209 and 4216 = 17745144

Step 1: Find the prime factorization of 4209

4209 = 3 x 23 x 61

Step 2: Find the prime factorization of 4216

4216 = 2 x 2 x 2 x 17 x 31

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

LCM = 17745144 = 2 x 2 x 2 x 3 x 17 x 23 x 31 x 61

Step 4: Therefore, the least common multiple of 4209 and 4216 is 17745144.