Least Common Multiple of 36034 and 36038

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 36034 and 36038 the smallest integer that is 649296646 that is divisible by both numbers.

Least Common Multiple (LCM) of 36034 and 36038 is 649296646.

LCM(36034,36038) = 649296646

LCM of 36034 and 36038

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

LCM of:
and

Least Common Multiple of 36034 and 36038

LCM of 36034 and 36038 is 649296646

Least common multiple can be found by multiplying the highest exponent prime factors of 36034 and 36038. First we will calculate the prime factors of 36034 and 36038.

Prime Factorization of 36034


2 36034
43 18017
419 419
1

Prime factors of 36034 are 2, 43,419. Prime factorization of 36034 in exponential form is:

36034 = 21×431×4191

Prime Factorization of 36038


2 36038
37 18019
487 487
1

Prime factors of 36038 are 2, 37,487. Prime factorization of 36038 in exponential form is:

36038 = 21×371×4871

Now multiplying the highest exponent prime factors to calculate the LCM of 36034 and 36038.

LCM(36034,36038) = 21×371×431×4191×4871
LCM(36034,36038) = 649296646

Factors of 36034

List of positive integer factors of 36034 that divides 36034 without a remainder.

1, 2, 43, 86, 419, 838, 18017, 36034

Factors of 36038

List of positive integer factors of 36038 that divides 36038 without a remainder.

1, 2, 37, 74, 487, 974, 18019, 36038

Least Common Multiple of 36034 and 36038 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 36034 and 36038, than apply into the LCM equation.

GCF(36034,36038) = 2
LCM(36034,36038) = ( 36034 × 36038) / 2
LCM(36034,36038) = 1298593292 / 2
LCM(36034,36038) = 649296646

Properties of LCM 36034 and 36038

(i) The LCM of 36038 and 36034 is associative

LCM of 36034 and 36038 = LCM of 36038 and 36034

Related Least Common Multiples of 36034

Related Least Common Multiples of 36038

Frequently Asked Questions on LCM of 36034 and 36038

1. What is the LCM of 36034 and 36038?

Answer: LCM of 36034 and 36038 is 649296646.

2. What are the Factors of 36034?

Answer: Factors of 36034 are 1, 2, 43, 86, 419, 838, 18017, 36034. There are 8 integers that are factors of 36034. The greatest factor of 36034 is 36034.

3. What are the Factors of 36038?

Answer: Factors of 36038 are 1, 2, 37, 74, 487, 974, 18019, 36038. There are 8 integers that are factors of 36038. The greatest factor of 36038 is 36038.

4. How to Find the LCM of 36034 and 36038?

Answer:

Least Common Multiple of 36034 and 36038 = 649296646

Step 1: Find the prime factorization of 36034

36034 = 2 x 43 x 419

Step 2: Find the prime factorization of 36038

36038 = 2 x 37 x 487

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

LCM = 649296646 = 2 x 37 x 43 x 419 x 487

Step 4: Therefore, the least common multiple of 36034 and 36038 is 649296646.