Least Common Multiple of 34224 and 34230

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 34224 and 34230 the smallest integer that is 195247920 that is divisible by both numbers.

Least Common Multiple (LCM) of 34224 and 34230 is 195247920.

LCM(34224,34230) = 195247920

LCM of 34224 and 34230

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

LCM of:
and

Least Common Multiple of 34224 and 34230

LCM of 34224 and 34230 is 195247920

Least common multiple can be found by multiplying the highest exponent prime factors of 34224 and 34230. First we will calculate the prime factors of 34224 and 34230.

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

Prime Factorization of 34230


2 34230
3 17115
5 5705
7 1141
163 163
1

Prime factors of 34230 are 2, 3, 5, 7,163. Prime factorization of 34230 in exponential form is:

34230 = 21×31×51×71×1631

Now multiplying the highest exponent prime factors to calculate the LCM of 34224 and 34230.

LCM(34224,34230) = 24×31×51×71×231×311×1631
LCM(34224,34230) = 195247920

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

Factors of 34230

List of positive integer factors of 34230 that divides 34230 without a remainder.

1, 2, 3, 5, 6, 7, 10, 14, 15, 21, 30, 35, 42, 70, 105, 163, 210, 326, 489, 815, 978, 1141, 1630, 2282, 2445, 3423, 4890, 5705, 6846, 11410, 17115, 34230

Least Common Multiple of 34224 and 34230 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 34224 and 34230, than apply into the LCM equation.

GCF(34224,34230) = 6
LCM(34224,34230) = ( 34224 × 34230) / 6
LCM(34224,34230) = 1171487520 / 6
LCM(34224,34230) = 195247920

Properties of LCM 34224 and 34230

(i) The LCM of 34230 and 34224 is associative

LCM of 34224 and 34230 = LCM of 34230 and 34224

Related Least Common Multiples of 34224

Related Least Common Multiples of 34230

Frequently Asked Questions on LCM of 34224 and 34230

1. What is the LCM of 34224 and 34230?

Answer: LCM of 34224 and 34230 is 195247920.

2. 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.

3. What are the Factors of 34230?

Answer: Factors of 34230 are 1, 2, 3, 5, 6, 7, 10, 14, 15, 21, 30, 35, 42, 70, 105, 163, 210, 326, 489, 815, 978, 1141, 1630, 2282, 2445, 3423, 4890, 5705, 6846, 11410, 17115, 34230. There are 32 integers that are factors of 34230. The greatest factor of 34230 is 34230.

4. How to Find the LCM of 34224 and 34230?

Answer:

Least Common Multiple of 34224 and 34230 = 195247920

Step 1: Find the prime factorization of 34224

34224 = 2 x 2 x 2 x 2 x 3 x 23 x 31

Step 2: Find the prime factorization of 34230

34230 = 2 x 3 x 5 x 7 x 163

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

LCM = 195247920 = 2 x 2 x 2 x 2 x 3 x 5 x 7 x 23 x 31 x 163

Step 4: Therefore, the least common multiple of 34224 and 34230 is 195247920.