Least Common Multiple of 34202 and 34204

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 34202 and 34204 the smallest integer that is 584922604 that is divisible by both numbers.

Least Common Multiple (LCM) of 34202 and 34204 is 584922604.

LCM(34202,34204) = 584922604

LCM of 34202 and 34204

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

LCM of:
and

Least Common Multiple of 34202 and 34204

LCM of 34202 and 34204 is 584922604

Least common multiple can be found by multiplying the highest exponent prime factors of 34202 and 34204. First we will calculate the prime factors of 34202 and 34204.

Prime Factorization of 34202


2 34202
7 17101
7 2443
349 349
1

Prime factors of 34202 are 2, 7,349. Prime factorization of 34202 in exponential form is:

34202 = 21×72×3491

Prime Factorization of 34204


2 34204
2 17102
17 8551
503 503
1

Prime factors of 34204 are 2, 17,503. Prime factorization of 34204 in exponential form is:

34204 = 22×171×5031

Now multiplying the highest exponent prime factors to calculate the LCM of 34202 and 34204.

LCM(34202,34204) = 22×72×171×3491×5031
LCM(34202,34204) = 584922604

Factors of 34202

List of positive integer factors of 34202 that divides 34202 without a remainder.

1, 2, 7, 14, 49, 98, 349, 698, 2443, 4886, 17101, 34202

Factors of 34204

List of positive integer factors of 34204 that divides 34204 without a remainder.

1, 2, 4, 17, 34, 68, 503, 1006, 2012, 8551, 17102, 34204

Least Common Multiple of 34202 and 34204 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 34202 and 34204, than apply into the LCM equation.

GCF(34202,34204) = 2
LCM(34202,34204) = ( 34202 × 34204) / 2
LCM(34202,34204) = 1169845208 / 2
LCM(34202,34204) = 584922604

Properties of LCM 34202 and 34204

(i) The LCM of 34204 and 34202 is associative

LCM of 34202 and 34204 = LCM of 34204 and 34202

Related Least Common Multiples of 34202

Related Least Common Multiples of 34204

Frequently Asked Questions on LCM of 34202 and 34204

1. What is the LCM of 34202 and 34204?

Answer: LCM of 34202 and 34204 is 584922604.

2. What are the Factors of 34202?

Answer: Factors of 34202 are 1, 2, 7, 14, 49, 98, 349, 698, 2443, 4886, 17101, 34202. There are 12 integers that are factors of 34202. The greatest factor of 34202 is 34202.

3. What are the Factors of 34204?

Answer: Factors of 34204 are 1, 2, 4, 17, 34, 68, 503, 1006, 2012, 8551, 17102, 34204. There are 12 integers that are factors of 34204. The greatest factor of 34204 is 34204.

4. How to Find the LCM of 34202 and 34204?

Answer:

Least Common Multiple of 34202 and 34204 = 584922604

Step 1: Find the prime factorization of 34202

34202 = 2 x 7 x 7 x 349

Step 2: Find the prime factorization of 34204

34204 = 2 x 2 x 17 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 = 584922604 = 2 x 2 x 7 x 7 x 17 x 349 x 503

Step 4: Therefore, the least common multiple of 34202 and 34204 is 584922604.