Least Common Multiple of 17235 and 17236

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 17235 and 17236 the smallest integer that is 297062460 that is divisible by both numbers.

Least Common Multiple (LCM) of 17235 and 17236 is 297062460.

LCM(17235,17236) = 297062460

LCM of 17235 and 17236

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

LCM of:
and

Least Common Multiple of 17235 and 17236

LCM of 17235 and 17236 is 297062460

Least common multiple can be found by multiplying the highest exponent prime factors of 17235 and 17236. First we will calculate the prime factors of 17235 and 17236.

Prime Factorization of 17235


3 17235
3 5745
5 1915
383 383
1

Prime factors of 17235 are 3, 5,383. Prime factorization of 17235 in exponential form is:

17235 = 32×51×3831

Prime Factorization of 17236


2 17236
2 8618
31 4309
139 139
1

Prime factors of 17236 are 2, 31,139. Prime factorization of 17236 in exponential form is:

17236 = 22×311×1391

Now multiplying the highest exponent prime factors to calculate the LCM of 17235 and 17236.

LCM(17235,17236) = 22×32×51×311×1391×3831
LCM(17235,17236) = 297062460

Factors of 17235

List of positive integer factors of 17235 that divides 17235 without a remainder.

1, 3, 5, 9, 15, 45, 383, 1149, 1915, 3447, 5745, 17235

Factors of 17236

List of positive integer factors of 17236 that divides 17236 without a remainder.

1, 2, 4, 31, 62, 124, 139, 278, 556, 4309, 8618, 17236

Least Common Multiple of 17235 and 17236 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 17235 and 17236, than apply into the LCM equation.

GCF(17235,17236) = 1
LCM(17235,17236) = ( 17235 × 17236) / 1
LCM(17235,17236) = 297062460 / 1
LCM(17235,17236) = 297062460

Properties of LCM 17235 and 17236

(i) The LCM of 17236 and 17235 is associative

LCM of 17235 and 17236 = LCM of 17236 and 17235

Related Least Common Multiples of 17235

Related Least Common Multiples of 17236

Frequently Asked Questions on LCM of 17235 and 17236

1. What is the LCM of 17235 and 17236?

Answer: LCM of 17235 and 17236 is 297062460.

2. What are the Factors of 17235?

Answer: Factors of 17235 are 1, 3, 5, 9, 15, 45, 383, 1149, 1915, 3447, 5745, 17235. There are 12 integers that are factors of 17235. The greatest factor of 17235 is 17235.

3. What are the Factors of 17236?

Answer: Factors of 17236 are 1, 2, 4, 31, 62, 124, 139, 278, 556, 4309, 8618, 17236. There are 12 integers that are factors of 17236. The greatest factor of 17236 is 17236.

4. How to Find the LCM of 17235 and 17236?

Answer:

Least Common Multiple of 17235 and 17236 = 297062460

Step 1: Find the prime factorization of 17235

17235 = 3 x 3 x 5 x 383

Step 2: Find the prime factorization of 17236

17236 = 2 x 2 x 31 x 139

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

LCM = 297062460 = 2 x 2 x 3 x 3 x 5 x 31 x 139 x 383

Step 4: Therefore, the least common multiple of 17235 and 17236 is 297062460.