Least Common Multiple of 35208 and 35214

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 35208 and 35214 the smallest integer that is 206635752 that is divisible by both numbers.

Least Common Multiple (LCM) of 35208 and 35214 is 206635752.

LCM(35208,35214) = 206635752

LCM of 35208 and 35214

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

LCM of:
and

Least Common Multiple of 35208 and 35214

LCM of 35208 and 35214 is 206635752

Least common multiple can be found by multiplying the highest exponent prime factors of 35208 and 35214. First we will calculate the prime factors of 35208 and 35214.

Prime Factorization of 35208


2 35208
2 17604
2 8802
3 4401
3 1467
3 489
163 163
1

Prime factors of 35208 are 2, 3,163. Prime factorization of 35208 in exponential form is:

35208 = 23×33×1631

Prime Factorization of 35214


2 35214
3 17607
5869 5869
1

Prime factors of 35214 are 2, 3,5869. Prime factorization of 35214 in exponential form is:

35214 = 21×31×58691

Now multiplying the highest exponent prime factors to calculate the LCM of 35208 and 35214.

LCM(35208,35214) = 23×33×1631×58691
LCM(35208,35214) = 206635752

Factors of 35208

List of positive integer factors of 35208 that divides 35208 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 27, 36, 54, 72, 108, 163, 216, 326, 489, 652, 978, 1304, 1467, 1956, 2934, 3912, 4401, 5868, 8802, 11736, 17604, 35208

Factors of 35214

List of positive integer factors of 35214 that divides 35214 without a remainder.

1, 2, 3, 6, 5869, 11738, 17607, 35214

Least Common Multiple of 35208 and 35214 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 35208 and 35214, than apply into the LCM equation.

GCF(35208,35214) = 6
LCM(35208,35214) = ( 35208 × 35214) / 6
LCM(35208,35214) = 1239814512 / 6
LCM(35208,35214) = 206635752

Properties of LCM 35208 and 35214

(i) The LCM of 35214 and 35208 is associative

LCM of 35208 and 35214 = LCM of 35214 and 35208

Related Least Common Multiples of 35208

Related Least Common Multiples of 35214

Frequently Asked Questions on LCM of 35208 and 35214

1. What is the LCM of 35208 and 35214?

Answer: LCM of 35208 and 35214 is 206635752.

2. What are the Factors of 35208?

Answer: Factors of 35208 are 1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 27, 36, 54, 72, 108, 163, 216, 326, 489, 652, 978, 1304, 1467, 1956, 2934, 3912, 4401, 5868, 8802, 11736, 17604, 35208. There are 32 integers that are factors of 35208. The greatest factor of 35208 is 35208.

3. What are the Factors of 35214?

Answer: Factors of 35214 are 1, 2, 3, 6, 5869, 11738, 17607, 35214. There are 8 integers that are factors of 35214. The greatest factor of 35214 is 35214.

4. How to Find the LCM of 35208 and 35214?

Answer:

Least Common Multiple of 35208 and 35214 = 206635752

Step 1: Find the prime factorization of 35208

35208 = 2 x 2 x 2 x 3 x 3 x 3 x 163

Step 2: Find the prime factorization of 35214

35214 = 2 x 3 x 5869

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

LCM = 206635752 = 2 x 2 x 2 x 3 x 3 x 3 x 163 x 5869

Step 4: Therefore, the least common multiple of 35208 and 35214 is 206635752.