Least Common Multiple of 35172 and 35179

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 35179 the smallest integer that is 1237315788 that is divisible by both numbers.

Least Common Multiple (LCM) of 35172 and 35179 is 1237315788.

LCM(35172,35179) = 1237315788

LCM of 35172 and 35179

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

LCM of:
and

Least Common Multiple of 35172 and 35179

LCM of 35172 and 35179 is 1237315788

Least common multiple can be found by multiplying the highest exponent prime factors of 35172 and 35179. First we will calculate the prime factors of 35172 and 35179.

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 35179


127 35179
277 277
1

Prime factors of 35179 are 127,277. Prime factorization of 35179 in exponential form is:

35179 = 1271×2771

Now multiplying the highest exponent prime factors to calculate the LCM of 35172 and 35179.

LCM(35172,35179) = 22×32×1271×2771×9771
LCM(35172,35179) = 1237315788

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 35179

List of positive integer factors of 35179 that divides 35179 without a remainder.

1, 127, 277, 35179

Least Common Multiple of 35172 and 35179 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 35179, than apply into the LCM equation.

GCF(35172,35179) = 1
LCM(35172,35179) = ( 35172 × 35179) / 1
LCM(35172,35179) = 1237315788 / 1
LCM(35172,35179) = 1237315788

Properties of LCM 35172 and 35179

(i) The LCM of 35179 and 35172 is associative

LCM of 35172 and 35179 = LCM of 35179 and 35172

Related Least Common Multiples of 35172

Related Least Common Multiples of 35179

Frequently Asked Questions on LCM of 35172 and 35179

1. What is the LCM of 35172 and 35179?

Answer: LCM of 35172 and 35179 is 1237315788.

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 35179?

Answer: Factors of 35179 are 1, 127, 277, 35179. There are 4 integers that are factors of 35179. The greatest factor of 35179 is 35179.

4. How to Find the LCM of 35172 and 35179?

Answer:

Least Common Multiple of 35172 and 35179 = 1237315788

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 35179

35179 = 127 x 277

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

LCM = 1237315788 = 2 x 2 x 3 x 3 x 127 x 277 x 977

Step 4: Therefore, the least common multiple of 35172 and 35179 is 1237315788.