Least Common Multiple of 34230 and 34235

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 34230 and 34235 the smallest integer that is 234372810 that is divisible by both numbers.

Least Common Multiple (LCM) of 34230 and 34235 is 234372810.

LCM(34230,34235) = 234372810

LCM of 34230 and 34235

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

LCM of:
and

Least Common Multiple of 34230 and 34235

LCM of 34230 and 34235 is 234372810

Least common multiple can be found by multiplying the highest exponent prime factors of 34230 and 34235. First we will calculate the prime factors of 34230 and 34235.

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

Prime Factorization of 34235


5 34235
41 6847
167 167
1

Prime factors of 34235 are 5, 41,167. Prime factorization of 34235 in exponential form is:

34235 = 51×411×1671

Now multiplying the highest exponent prime factors to calculate the LCM of 34230 and 34235.

LCM(34230,34235) = 21×31×51×71×411×1631×1671
LCM(34230,34235) = 234372810

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

Factors of 34235

List of positive integer factors of 34235 that divides 34235 without a remainder.

1, 5, 41, 167, 205, 835, 6847, 34235

Least Common Multiple of 34230 and 34235 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 34230 and 34235, than apply into the LCM equation.

GCF(34230,34235) = 5
LCM(34230,34235) = ( 34230 × 34235) / 5
LCM(34230,34235) = 1171864050 / 5
LCM(34230,34235) = 234372810

Properties of LCM 34230 and 34235

(i) The LCM of 34235 and 34230 is associative

LCM of 34230 and 34235 = LCM of 34235 and 34230

Related Least Common Multiples of 34230

Related Least Common Multiples of 34235

Frequently Asked Questions on LCM of 34230 and 34235

1. What is the LCM of 34230 and 34235?

Answer: LCM of 34230 and 34235 is 234372810.

2. 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.

3. What are the Factors of 34235?

Answer: Factors of 34235 are 1, 5, 41, 167, 205, 835, 6847, 34235. There are 8 integers that are factors of 34235. The greatest factor of 34235 is 34235.

4. How to Find the LCM of 34230 and 34235?

Answer:

Least Common Multiple of 34230 and 34235 = 234372810

Step 1: Find the prime factorization of 34230

34230 = 2 x 3 x 5 x 7 x 163

Step 2: Find the prime factorization of 34235

34235 = 5 x 41 x 167

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

LCM = 234372810 = 2 x 3 x 5 x 7 x 41 x 163 x 167

Step 4: Therefore, the least common multiple of 34230 and 34235 is 234372810.