Least Common Multiple of 34216 and 34224

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 34216 and 34224 the smallest integer that is 146376048 that is divisible by both numbers.

Least Common Multiple (LCM) of 34216 and 34224 is 146376048.

LCM(34216,34224) = 146376048

LCM of 34216 and 34224

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

LCM of:
and

Least Common Multiple of 34216 and 34224

LCM of 34216 and 34224 is 146376048

Least common multiple can be found by multiplying the highest exponent prime factors of 34216 and 34224. First we will calculate the prime factors of 34216 and 34224.

Prime Factorization of 34216


2 34216
2 17108
2 8554
7 4277
13 611
47 47
1

Prime factors of 34216 are 2, 7, 13,47. Prime factorization of 34216 in exponential form is:

34216 = 23×71×131×471

Prime Factorization of 34224


2 34224
2 17112
2 8556
2 4278
3 2139
23 713
31 31
1

Prime factors of 34224 are 2, 3, 23,31. Prime factorization of 34224 in exponential form is:

34224 = 24×31×231×311

Now multiplying the highest exponent prime factors to calculate the LCM of 34216 and 34224.

LCM(34216,34224) = 24×31×71×131×231×311×471
LCM(34216,34224) = 146376048

Factors of 34216

List of positive integer factors of 34216 that divides 34216 without a remainder.

1, 2, 4, 7, 8, 13, 14, 26, 28, 47, 52, 56, 91, 94, 104, 182, 188, 329, 364, 376, 611, 658, 728, 1222, 1316, 2444, 2632, 4277, 4888, 8554, 17108, 34216

Factors of 34224

List of positive integer factors of 34224 that divides 34224 without a remainder.

1, 2, 3, 4, 6, 8, 12, 16, 23, 24, 31, 46, 48, 62, 69, 92, 93, 124, 138, 184, 186, 248, 276, 368, 372, 496, 552, 713, 744, 1104, 1426, 1488, 2139, 2852, 4278, 5704, 8556, 11408, 17112, 34224

Least Common Multiple of 34216 and 34224 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 34216 and 34224, than apply into the LCM equation.

GCF(34216,34224) = 8
LCM(34216,34224) = ( 34216 × 34224) / 8
LCM(34216,34224) = 1171008384 / 8
LCM(34216,34224) = 146376048

Properties of LCM 34216 and 34224

(i) The LCM of 34224 and 34216 is associative

LCM of 34216 and 34224 = LCM of 34224 and 34216

Related Least Common Multiples of 34216

Related Least Common Multiples of 34224

Frequently Asked Questions on LCM of 34216 and 34224

1. What is the LCM of 34216 and 34224?

Answer: LCM of 34216 and 34224 is 146376048.

2. What are the Factors of 34216?

Answer: Factors of 34216 are 1, 2, 4, 7, 8, 13, 14, 26, 28, 47, 52, 56, 91, 94, 104, 182, 188, 329, 364, 376, 611, 658, 728, 1222, 1316, 2444, 2632, 4277, 4888, 8554, 17108, 34216. There are 32 integers that are factors of 34216. The greatest factor of 34216 is 34216.

3. What are the Factors of 34224?

Answer: Factors of 34224 are 1, 2, 3, 4, 6, 8, 12, 16, 23, 24, 31, 46, 48, 62, 69, 92, 93, 124, 138, 184, 186, 248, 276, 368, 372, 496, 552, 713, 744, 1104, 1426, 1488, 2139, 2852, 4278, 5704, 8556, 11408, 17112, 34224. There are 40 integers that are factors of 34224. The greatest factor of 34224 is 34224.

4. How to Find the LCM of 34216 and 34224?

Answer:

Least Common Multiple of 34216 and 34224 = 146376048

Step 1: Find the prime factorization of 34216

34216 = 2 x 2 x 2 x 7 x 13 x 47

Step 2: Find the prime factorization of 34224

34224 = 2 x 2 x 2 x 2 x 3 x 23 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 = 146376048 = 2 x 2 x 2 x 2 x 3 x 7 x 13 x 23 x 31 x 47

Step 4: Therefore, the least common multiple of 34216 and 34224 is 146376048.