Least Common Multiple of 35188 and 35192

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 35188 and 35192 the smallest integer that is 309584024 that is divisible by both numbers.

Least Common Multiple (LCM) of 35188 and 35192 is 309584024.

LCM(35188,35192) = 309584024

LCM of 35188 and 35192

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

LCM of:
and

Least Common Multiple of 35188 and 35192

LCM of 35188 and 35192 is 309584024

Least common multiple can be found by multiplying the highest exponent prime factors of 35188 and 35192. First we will calculate the prime factors of 35188 and 35192.

Prime Factorization of 35188


2 35188
2 17594
19 8797
463 463
1

Prime factors of 35188 are 2, 19,463. Prime factorization of 35188 in exponential form is:

35188 = 22×191×4631

Prime Factorization of 35192


2 35192
2 17596
2 8798
53 4399
83 83
1

Prime factors of 35192 are 2, 53,83. Prime factorization of 35192 in exponential form is:

35192 = 23×531×831

Now multiplying the highest exponent prime factors to calculate the LCM of 35188 and 35192.

LCM(35188,35192) = 23×191×531×831×4631
LCM(35188,35192) = 309584024

Factors of 35188

List of positive integer factors of 35188 that divides 35188 without a remainder.

1, 2, 4, 19, 38, 76, 463, 926, 1852, 8797, 17594, 35188

Factors of 35192

List of positive integer factors of 35192 that divides 35192 without a remainder.

1, 2, 4, 8, 53, 83, 106, 166, 212, 332, 424, 664, 4399, 8798, 17596, 35192

Least Common Multiple of 35188 and 35192 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 35188 and 35192, than apply into the LCM equation.

GCF(35188,35192) = 4
LCM(35188,35192) = ( 35188 × 35192) / 4
LCM(35188,35192) = 1238336096 / 4
LCM(35188,35192) = 309584024

Properties of LCM 35188 and 35192

(i) The LCM of 35192 and 35188 is associative

LCM of 35188 and 35192 = LCM of 35192 and 35188

Related Least Common Multiples of 35188

Related Least Common Multiples of 35192

Frequently Asked Questions on LCM of 35188 and 35192

1. What is the LCM of 35188 and 35192?

Answer: LCM of 35188 and 35192 is 309584024.

2. What are the Factors of 35188?

Answer: Factors of 35188 are 1, 2, 4, 19, 38, 76, 463, 926, 1852, 8797, 17594, 35188. There are 12 integers that are factors of 35188. The greatest factor of 35188 is 35188.

3. What are the Factors of 35192?

Answer: Factors of 35192 are 1, 2, 4, 8, 53, 83, 106, 166, 212, 332, 424, 664, 4399, 8798, 17596, 35192. There are 16 integers that are factors of 35192. The greatest factor of 35192 is 35192.

4. How to Find the LCM of 35188 and 35192?

Answer:

Least Common Multiple of 35188 and 35192 = 309584024

Step 1: Find the prime factorization of 35188

35188 = 2 x 2 x 19 x 463

Step 2: Find the prime factorization of 35192

35192 = 2 x 2 x 2 x 53 x 83

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

LCM = 309584024 = 2 x 2 x 2 x 19 x 53 x 83 x 463

Step 4: Therefore, the least common multiple of 35188 and 35192 is 309584024.