Least Common Multiple of 34217 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 34217 and 34224 the smallest integer that is 1171042608 that is divisible by both numbers.

Least Common Multiple (LCM) of 34217 and 34224 is 1171042608.

LCM(34217,34224) = 1171042608

LCM of 34217 and 34224

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

LCM of:
and

Least Common Multiple of 34217 and 34224

LCM of 34217 and 34224 is 1171042608

Least common multiple can be found by multiplying the highest exponent prime factors of 34217 and 34224. First we will calculate the prime factors of 34217 and 34224.

Prime Factorization of 34217


34217 34217
1

Prime factors of 34217 are 34217. Prime factorization of 34217 in exponential form is:

34217 = 342171

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 34217 and 34224.

LCM(34217,34224) = 24×31×231×311×342171
LCM(34217,34224) = 1171042608

Factors of 34217

List of positive integer factors of 34217 that divides 34217 without a remainder.

1, 34217

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 34217 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 34217 and 34224, than apply into the LCM equation.

GCF(34217,34224) = 1
LCM(34217,34224) = ( 34217 × 34224) / 1
LCM(34217,34224) = 1171042608 / 1
LCM(34217,34224) = 1171042608

Properties of LCM 34217 and 34224

(i) The LCM of 34224 and 34217 is associative

LCM of 34217 and 34224 = LCM of 34224 and 34217

Related Least Common Multiples of 34217

Related Least Common Multiples of 34224

Frequently Asked Questions on LCM of 34217 and 34224

1. What is the LCM of 34217 and 34224?

Answer: LCM of 34217 and 34224 is 1171042608.

2. What are the Factors of 34217?

Answer: Factors of 34217 are 1, 34217. There are 2 integers that are factors of 34217. The greatest factor of 34217 is 34217.

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 34217 and 34224?

Answer:

Least Common Multiple of 34217 and 34224 = 1171042608

Step 1: Find the prime factorization of 34217

34217 = 34217

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 = 1171042608 = 2 x 2 x 2 x 2 x 3 x 23 x 31 x 34217

Step 4: Therefore, the least common multiple of 34217 and 34224 is 1171042608.