Least Common Multiple of 40030 and 40034

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 40030 and 40034 the smallest integer that is 801280510 that is divisible by both numbers.

Least Common Multiple (LCM) of 40030 and 40034 is 801280510.

LCM(40030,40034) = 801280510

LCM of 40030 and 40034

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

LCM of:
and

Least Common Multiple of 40030 and 40034

LCM of 40030 and 40034 is 801280510

Least common multiple can be found by multiplying the highest exponent prime factors of 40030 and 40034. First we will calculate the prime factors of 40030 and 40034.

Prime Factorization of 40030


2 40030
5 20015
4003 4003
1

Prime factors of 40030 are 2, 5,4003. Prime factorization of 40030 in exponential form is:

40030 = 21×51×40031

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

Now multiplying the highest exponent prime factors to calculate the LCM of 40030 and 40034.

LCM(40030,40034) = 21×51×371×5411×40031
LCM(40030,40034) = 801280510

Factors of 40030

List of positive integer factors of 40030 that divides 40030 without a remainder.

1, 2, 5, 10, 4003, 8006, 20015, 40030

Factors of 40034

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

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

Least Common Multiple of 40030 and 40034 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 40030 and 40034, than apply into the LCM equation.

GCF(40030,40034) = 2
LCM(40030,40034) = ( 40030 × 40034) / 2
LCM(40030,40034) = 1602561020 / 2
LCM(40030,40034) = 801280510

Properties of LCM 40030 and 40034

(i) The LCM of 40034 and 40030 is associative

LCM of 40030 and 40034 = LCM of 40034 and 40030

Related Least Common Multiples of 40030

Related Least Common Multiples of 40034

Frequently Asked Questions on LCM of 40030 and 40034

1. What is the LCM of 40030 and 40034?

Answer: LCM of 40030 and 40034 is 801280510.

2. What are the Factors of 40030?

Answer: Factors of 40030 are 1, 2, 5, 10, 4003, 8006, 20015, 40030. There are 8 integers that are factors of 40030. The greatest factor of 40030 is 40030.

3. 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.

4. How to Find the LCM of 40030 and 40034?

Answer:

Least Common Multiple of 40030 and 40034 = 801280510

Step 1: Find the prime factorization of 40030

40030 = 2 x 5 x 4003

Step 2: Find the prime factorization of 40034

40034 = 2 x 37 x 541

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

LCM = 801280510 = 2 x 5 x 37 x 541 x 4003

Step 4: Therefore, the least common multiple of 40030 and 40034 is 801280510.