Least Common Multiple of 40030 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 40030 and 40038 the smallest integer that is 801360570 that is divisible by both numbers.

Least Common Multiple (LCM) of 40030 and 40038 is 801360570.

LCM(40030,40038) = 801360570

LCM of 40030 and 40038

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

LCM of:
and

Least Common Multiple of 40030 and 40038

LCM of 40030 and 40038 is 801360570

Least common multiple can be found by multiplying the highest exponent prime factors of 40030 and 40038. First we will calculate the prime factors of 40030 and 40038.

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 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 40030 and 40038.

LCM(40030,40038) = 21×31×51×40031×66731
LCM(40030,40038) = 801360570

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 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 40030 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 40030 and 40038, than apply into the LCM equation.

GCF(40030,40038) = 2
LCM(40030,40038) = ( 40030 × 40038) / 2
LCM(40030,40038) = 1602721140 / 2
LCM(40030,40038) = 801360570

Properties of LCM 40030 and 40038

(i) The LCM of 40038 and 40030 is associative

LCM of 40030 and 40038 = LCM of 40038 and 40030

Related Least Common Multiples of 40030

Related Least Common Multiples of 40038

Frequently Asked Questions on LCM of 40030 and 40038

1. What is the LCM of 40030 and 40038?

Answer: LCM of 40030 and 40038 is 801360570.

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 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 40030 and 40038?

Answer:

Least Common Multiple of 40030 and 40038 = 801360570

Step 1: Find the prime factorization of 40030

40030 = 2 x 5 x 4003

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 = 801360570 = 2 x 3 x 5 x 4003 x 6673

Step 4: Therefore, the least common multiple of 40030 and 40038 is 801360570.