Least Common Multiple of 40034 and 40038

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 40034 and 40038 the smallest integer that is 801440646 that is divisible by both numbers.

Least Common Multiple (LCM) of 40034 and 40038 is 801440646.

LCM(40034,40038) = 801440646

LCM of 40034 and 40038

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

LCM of:
and

Least Common Multiple of 40034 and 40038

LCM of 40034 and 40038 is 801440646

Least common multiple can be found by multiplying the highest exponent prime factors of 40034 and 40038. First we will calculate the prime factors of 40034 and 40038.

Prime Factorization of 40034


2 40034
37 20017
541 541
1

Prime factors of 40034 are 2, 37,541. Prime factorization of 40034 in exponential form is:

40034 = 21×371×5411

Prime Factorization of 40038


2 40038
3 20019
6673 6673
1

Prime factors of 40038 are 2, 3,6673. Prime factorization of 40038 in exponential form is:

40038 = 21×31×66731

Now multiplying the highest exponent prime factors to calculate the LCM of 40034 and 40038.

LCM(40034,40038) = 21×31×371×5411×66731
LCM(40034,40038) = 801440646

Factors of 40034

List of positive integer factors of 40034 that divides 40034 without a remainder.

1, 2, 37, 74, 541, 1082, 20017, 40034

Factors of 40038

List of positive integer factors of 40038 that divides 40038 without a remainder.

1, 2, 3, 6, 6673, 13346, 20019, 40038

Least Common Multiple of 40034 and 40038 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 40034 and 40038, than apply into the LCM equation.

GCF(40034,40038) = 2
LCM(40034,40038) = ( 40034 × 40038) / 2
LCM(40034,40038) = 1602881292 / 2
LCM(40034,40038) = 801440646

Properties of LCM 40034 and 40038

(i) The LCM of 40038 and 40034 is associative

LCM of 40034 and 40038 = LCM of 40038 and 40034

Related Least Common Multiples of 40034

Related Least Common Multiples of 40038

Frequently Asked Questions on LCM of 40034 and 40038

1. What is the LCM of 40034 and 40038?

Answer: LCM of 40034 and 40038 is 801440646.

2. What are the Factors of 40034?

Answer: Factors of 40034 are 1, 2, 37, 74, 541, 1082, 20017, 40034. There are 8 integers that are factors of 40034. The greatest factor of 40034 is 40034.

3. What are the Factors of 40038?

Answer: Factors of 40038 are 1, 2, 3, 6, 6673, 13346, 20019, 40038. There are 8 integers that are factors of 40038. The greatest factor of 40038 is 40038.

4. How to Find the LCM of 40034 and 40038?

Answer:

Least Common Multiple of 40034 and 40038 = 801440646

Step 1: Find the prime factorization of 40034

40034 = 2 x 37 x 541

Step 2: Find the prime factorization of 40038

40038 = 2 x 3 x 6673

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

LCM = 801440646 = 2 x 3 x 37 x 541 x 6673

Step 4: Therefore, the least common multiple of 40034 and 40038 is 801440646.