Least Common Multiple of 35204 and 35212

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 35212 the smallest integer that is 309900812 that is divisible by both numbers.

Least Common Multiple (LCM) of 35204 and 35212 is 309900812.

LCM(35204,35212) = 309900812

LCM of 35204 and 35212

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

LCM of:
and

Least Common Multiple of 35204 and 35212

LCM of 35204 and 35212 is 309900812

Least common multiple can be found by multiplying the highest exponent prime factors of 35204 and 35212. First we will calculate the prime factors of 35204 and 35212.

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 35212


2 35212
2 17606
8803 8803
1

Prime factors of 35212 are 2,8803. Prime factorization of 35212 in exponential form is:

35212 = 22×88031

Now multiplying the highest exponent prime factors to calculate the LCM of 35204 and 35212.

LCM(35204,35212) = 22×131×6771×88031
LCM(35204,35212) = 309900812

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 35212

List of positive integer factors of 35212 that divides 35212 without a remainder.

1, 2, 4, 8803, 17606, 35212

Least Common Multiple of 35204 and 35212 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 35212, than apply into the LCM equation.

GCF(35204,35212) = 4
LCM(35204,35212) = ( 35204 × 35212) / 4
LCM(35204,35212) = 1239603248 / 4
LCM(35204,35212) = 309900812

Properties of LCM 35204 and 35212

(i) The LCM of 35212 and 35204 is associative

LCM of 35204 and 35212 = LCM of 35212 and 35204

Related Least Common Multiples of 35204

Related Least Common Multiples of 35212

Frequently Asked Questions on LCM of 35204 and 35212

1. What is the LCM of 35204 and 35212?

Answer: LCM of 35204 and 35212 is 309900812.

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 35212?

Answer: Factors of 35212 are 1, 2, 4, 8803, 17606, 35212. There are 6 integers that are factors of 35212. The greatest factor of 35212 is 35212.

4. How to Find the LCM of 35204 and 35212?

Answer:

Least Common Multiple of 35204 and 35212 = 309900812

Step 1: Find the prime factorization of 35204

35204 = 2 x 2 x 13 x 677

Step 2: Find the prime factorization of 35212

35212 = 2 x 2 x 8803

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

LCM = 309900812 = 2 x 2 x 13 x 677 x 8803

Step 4: Therefore, the least common multiple of 35204 and 35212 is 309900812.