Least Common Multiple of 35172 and 35178

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 35172 and 35178 the smallest integer that is 206213436 that is divisible by both numbers.

Least Common Multiple (LCM) of 35172 and 35178 is 206213436.

LCM(35172,35178) = 206213436

LCM of 35172 and 35178

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

LCM of:
and

Least Common Multiple of 35172 and 35178

LCM of 35172 and 35178 is 206213436

Least common multiple can be found by multiplying the highest exponent prime factors of 35172 and 35178. First we will calculate the prime factors of 35172 and 35178.

Prime Factorization of 35172


2 35172
2 17586
3 8793
3 2931
977 977
1

Prime factors of 35172 are 2, 3,977. Prime factorization of 35172 in exponential form is:

35172 = 22×32×9771

Prime Factorization of 35178


2 35178
3 17589
11 5863
13 533
41 41
1

Prime factors of 35178 are 2, 3, 11, 13,41. Prime factorization of 35178 in exponential form is:

35178 = 21×31×111×131×411

Now multiplying the highest exponent prime factors to calculate the LCM of 35172 and 35178.

LCM(35172,35178) = 22×32×111×131×411×9771
LCM(35172,35178) = 206213436

Factors of 35172

List of positive integer factors of 35172 that divides 35172 without a remainder.

1, 2, 3, 4, 6, 9, 12, 18, 36, 977, 1954, 2931, 3908, 5862, 8793, 11724, 17586, 35172

Factors of 35178

List of positive integer factors of 35178 that divides 35178 without a remainder.

1, 2, 3, 6, 11, 13, 22, 26, 33, 39, 41, 66, 78, 82, 123, 143, 246, 286, 429, 451, 533, 858, 902, 1066, 1353, 1599, 2706, 3198, 5863, 11726, 17589, 35178

Least Common Multiple of 35172 and 35178 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 35172 and 35178, than apply into the LCM equation.

GCF(35172,35178) = 6
LCM(35172,35178) = ( 35172 × 35178) / 6
LCM(35172,35178) = 1237280616 / 6
LCM(35172,35178) = 206213436

Properties of LCM 35172 and 35178

(i) The LCM of 35178 and 35172 is associative

LCM of 35172 and 35178 = LCM of 35178 and 35172

Related Least Common Multiples of 35172

Related Least Common Multiples of 35178

Frequently Asked Questions on LCM of 35172 and 35178

1. What is the LCM of 35172 and 35178?

Answer: LCM of 35172 and 35178 is 206213436.

2. What are the Factors of 35172?

Answer: Factors of 35172 are 1, 2, 3, 4, 6, 9, 12, 18, 36, 977, 1954, 2931, 3908, 5862, 8793, 11724, 17586, 35172. There are 18 integers that are factors of 35172. The greatest factor of 35172 is 35172.

3. What are the Factors of 35178?

Answer: Factors of 35178 are 1, 2, 3, 6, 11, 13, 22, 26, 33, 39, 41, 66, 78, 82, 123, 143, 246, 286, 429, 451, 533, 858, 902, 1066, 1353, 1599, 2706, 3198, 5863, 11726, 17589, 35178. There are 32 integers that are factors of 35178. The greatest factor of 35178 is 35178.

4. How to Find the LCM of 35172 and 35178?

Answer:

Least Common Multiple of 35172 and 35178 = 206213436

Step 1: Find the prime factorization of 35172

35172 = 2 x 2 x 3 x 3 x 977

Step 2: Find the prime factorization of 35178

35178 = 2 x 3 x 11 x 13 x 41

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

LCM = 206213436 = 2 x 2 x 3 x 3 x 11 x 13 x 41 x 977

Step 4: Therefore, the least common multiple of 35172 and 35178 is 206213436.