Least Common Multiple of 17232 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 17232 and 17236 the smallest integer that is 74252688 that is divisible by both numbers.

Least Common Multiple (LCM) of 17232 and 17236 is 74252688.

LCM(17232,17236) = 74252688

LCM of 17232 and 17236

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

LCM of:
and

Least Common Multiple of 17232 and 17236

LCM of 17232 and 17236 is 74252688

Least common multiple can be found by multiplying the highest exponent prime factors of 17232 and 17236. First we will calculate the prime factors of 17232 and 17236.

Prime Factorization of 17232


2 17232
2 8616
2 4308
2 2154
3 1077
359 359
1

Prime factors of 17232 are 2, 3,359. Prime factorization of 17232 in exponential form is:

17232 = 24×31×3591

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 17232 and 17236.

LCM(17232,17236) = 24×31×311×1391×3591
LCM(17232,17236) = 74252688

Factors of 17232

List of positive integer factors of 17232 that divides 17232 without a remainder.

1, 2, 3, 4, 6, 8, 12, 16, 24, 48, 359, 718, 1077, 1436, 2154, 2872, 4308, 5744, 8616, 17232

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 17232 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 17232 and 17236, than apply into the LCM equation.

GCF(17232,17236) = 4
LCM(17232,17236) = ( 17232 × 17236) / 4
LCM(17232,17236) = 297010752 / 4
LCM(17232,17236) = 74252688

Properties of LCM 17232 and 17236

(i) The LCM of 17236 and 17232 is associative

LCM of 17232 and 17236 = LCM of 17236 and 17232

Related Least Common Multiples of 17232

Related Least Common Multiples of 17236

Frequently Asked Questions on LCM of 17232 and 17236

1. What is the LCM of 17232 and 17236?

Answer: LCM of 17232 and 17236 is 74252688.

2. What are the Factors of 17232?

Answer: Factors of 17232 are 1, 2, 3, 4, 6, 8, 12, 16, 24, 48, 359, 718, 1077, 1436, 2154, 2872, 4308, 5744, 8616, 17232. There are 20 integers that are factors of 17232. The greatest factor of 17232 is 17232.

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 17232 and 17236?

Answer:

Least Common Multiple of 17232 and 17236 = 74252688

Step 1: Find the prime factorization of 17232

17232 = 2 x 2 x 2 x 2 x 3 x 359

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 = 74252688 = 2 x 2 x 2 x 2 x 3 x 31 x 139 x 359

Step 4: Therefore, the least common multiple of 17232 and 17236 is 74252688.