Least Common Multiple of 35204 and 35210

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 35204 and 35210 the smallest integer that is 619766420 that is divisible by both numbers.

Least Common Multiple (LCM) of 35204 and 35210 is 619766420.

LCM(35204,35210) = 619766420

LCM of 35204 and 35210

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

LCM of:
and

Least Common Multiple of 35204 and 35210

LCM of 35204 and 35210 is 619766420

Least common multiple can be found by multiplying the highest exponent prime factors of 35204 and 35210. First we will calculate the prime factors of 35204 and 35210.

Prime Factorization of 35204


2 35204
2 17602
13 8801
677 677
1

Prime factors of 35204 are 2, 13,677. Prime factorization of 35204 in exponential form is:

35204 = 22×131×6771

Prime Factorization of 35210


2 35210
5 17605
7 3521
503 503
1

Prime factors of 35210 are 2, 5, 7,503. Prime factorization of 35210 in exponential form is:

35210 = 21×51×71×5031

Now multiplying the highest exponent prime factors to calculate the LCM of 35204 and 35210.

LCM(35204,35210) = 22×51×71×131×5031×6771
LCM(35204,35210) = 619766420

Factors of 35204

List of positive integer factors of 35204 that divides 35204 without a remainder.

1, 2, 4, 13, 26, 52, 677, 1354, 2708, 8801, 17602, 35204

Factors of 35210

List of positive integer factors of 35210 that divides 35210 without a remainder.

1, 2, 5, 7, 10, 14, 35, 70, 503, 1006, 2515, 3521, 5030, 7042, 17605, 35210

Least Common Multiple of 35204 and 35210 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 35204 and 35210, than apply into the LCM equation.

GCF(35204,35210) = 2
LCM(35204,35210) = ( 35204 × 35210) / 2
LCM(35204,35210) = 1239532840 / 2
LCM(35204,35210) = 619766420

Properties of LCM 35204 and 35210

(i) The LCM of 35210 and 35204 is associative

LCM of 35204 and 35210 = LCM of 35210 and 35204

Related Least Common Multiples of 35204

Related Least Common Multiples of 35210

Frequently Asked Questions on LCM of 35204 and 35210

1. What is the LCM of 35204 and 35210?

Answer: LCM of 35204 and 35210 is 619766420.

2. What are the Factors of 35204?

Answer: Factors of 35204 are 1, 2, 4, 13, 26, 52, 677, 1354, 2708, 8801, 17602, 35204. There are 12 integers that are factors of 35204. The greatest factor of 35204 is 35204.

3. What are the Factors of 35210?

Answer: Factors of 35210 are 1, 2, 5, 7, 10, 14, 35, 70, 503, 1006, 2515, 3521, 5030, 7042, 17605, 35210. There are 16 integers that are factors of 35210. The greatest factor of 35210 is 35210.

4. How to Find the LCM of 35204 and 35210?

Answer:

Least Common Multiple of 35204 and 35210 = 619766420

Step 1: Find the prime factorization of 35204

35204 = 2 x 2 x 13 x 677

Step 2: Find the prime factorization of 35210

35210 = 2 x 5 x 7 x 503

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

LCM = 619766420 = 2 x 2 x 5 x 7 x 13 x 503 x 677

Step 4: Therefore, the least common multiple of 35204 and 35210 is 619766420.