Least Common Multiple of 4208 and 4212

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 4208 and 4212 the smallest integer that is 4431024 that is divisible by both numbers.

Least Common Multiple (LCM) of 4208 and 4212 is 4431024.

LCM(4208,4212) = 4431024

LCM of 4208 and 4212

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

LCM of:
and

Least Common Multiple of 4208 and 4212

LCM of 4208 and 4212 is 4431024

Least common multiple can be found by multiplying the highest exponent prime factors of 4208 and 4212. First we will calculate the prime factors of 4208 and 4212.

Prime Factorization of 4208


2 4208
2 2104
2 1052
2 526
263 263
1

Prime factors of 4208 are 2,263. Prime factorization of 4208 in exponential form is:

4208 = 24×2631

Prime Factorization of 4212


2 4212
2 2106
3 1053
3 351
3 117
3 39
13 13
1

Prime factors of 4212 are 2, 3,13. Prime factorization of 4212 in exponential form is:

4212 = 22×34×131

Now multiplying the highest exponent prime factors to calculate the LCM of 4208 and 4212.

LCM(4208,4212) = 24×34×131×2631
LCM(4208,4212) = 4431024

Factors of 4208

List of positive integer factors of 4208 that divides 4208 without a remainder.

1, 2, 4, 8, 16, 263, 526, 1052, 2104, 4208

Factors of 4212

List of positive integer factors of 4212 that divides 4212 without a remainder.

1, 2, 3, 4, 6, 9, 12, 13, 18, 26, 27, 36, 39, 52, 54, 78, 81, 108, 117, 156, 162, 234, 324, 351, 468, 702, 1053, 1404, 2106, 4212

Least Common Multiple of 4208 and 4212 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 4208 and 4212, than apply into the LCM equation.

GCF(4208,4212) = 4
LCM(4208,4212) = ( 4208 × 4212) / 4
LCM(4208,4212) = 17724096 / 4
LCM(4208,4212) = 4431024

Properties of LCM 4208 and 4212

(i) The LCM of 4212 and 4208 is associative

LCM of 4208 and 4212 = LCM of 4212 and 4208

Related Least Common Multiples of 4208

Related Least Common Multiples of 4212

Frequently Asked Questions on LCM of 4208 and 4212

1. What is the LCM of 4208 and 4212?

Answer: LCM of 4208 and 4212 is 4431024.

2. What are the Factors of 4208?

Answer: Factors of 4208 are 1, 2, 4, 8, 16, 263, 526, 1052, 2104, 4208. There are 10 integers that are factors of 4208. The greatest factor of 4208 is 4208.

3. What are the Factors of 4212?

Answer: Factors of 4212 are 1, 2, 3, 4, 6, 9, 12, 13, 18, 26, 27, 36, 39, 52, 54, 78, 81, 108, 117, 156, 162, 234, 324, 351, 468, 702, 1053, 1404, 2106, 4212. There are 30 integers that are factors of 4212. The greatest factor of 4212 is 4212.

4. How to Find the LCM of 4208 and 4212?

Answer:

Least Common Multiple of 4208 and 4212 = 4431024

Step 1: Find the prime factorization of 4208

4208 = 2 x 2 x 2 x 2 x 263

Step 2: Find the prime factorization of 4212

4212 = 2 x 2 x 3 x 3 x 3 x 3 x 13

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

LCM = 4431024 = 2 x 2 x 2 x 2 x 3 x 3 x 3 x 3 x 13 x 263

Step 4: Therefore, the least common multiple of 4208 and 4212 is 4431024.