Least Common Multiple of 40038 and 40044

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 40038 and 40044 the smallest integer that is 267213612 that is divisible by both numbers.

Least Common Multiple (LCM) of 40038 and 40044 is 267213612.

LCM(40038,40044) = 267213612

LCM of 40038 and 40044

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

LCM of:
and

Least Common Multiple of 40038 and 40044

LCM of 40038 and 40044 is 267213612

Least common multiple can be found by multiplying the highest exponent prime factors of 40038 and 40044. First we will calculate the prime factors of 40038 and 40044.

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

Prime Factorization of 40044


2 40044
2 20022
3 10011
47 3337
71 71
1

Prime factors of 40044 are 2, 3, 47,71. Prime factorization of 40044 in exponential form is:

40044 = 22×31×471×711

Now multiplying the highest exponent prime factors to calculate the LCM of 40038 and 40044.

LCM(40038,40044) = 22×31×471×711×66731
LCM(40038,40044) = 267213612

Factors of 40038

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

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

Factors of 40044

List of positive integer factors of 40044 that divides 40044 without a remainder.

1, 2, 3, 4, 6, 12, 47, 71, 94, 141, 142, 188, 213, 282, 284, 426, 564, 852, 3337, 6674, 10011, 13348, 20022, 40044

Least Common Multiple of 40038 and 40044 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 40038 and 40044, than apply into the LCM equation.

GCF(40038,40044) = 6
LCM(40038,40044) = ( 40038 × 40044) / 6
LCM(40038,40044) = 1603281672 / 6
LCM(40038,40044) = 267213612

Properties of LCM 40038 and 40044

(i) The LCM of 40044 and 40038 is associative

LCM of 40038 and 40044 = LCM of 40044 and 40038

Related Least Common Multiples of 40038

Related Least Common Multiples of 40044

Frequently Asked Questions on LCM of 40038 and 40044

1. What is the LCM of 40038 and 40044?

Answer: LCM of 40038 and 40044 is 267213612.

2. 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.

3. What are the Factors of 40044?

Answer: Factors of 40044 are 1, 2, 3, 4, 6, 12, 47, 71, 94, 141, 142, 188, 213, 282, 284, 426, 564, 852, 3337, 6674, 10011, 13348, 20022, 40044. There are 24 integers that are factors of 40044. The greatest factor of 40044 is 40044.

4. How to Find the LCM of 40038 and 40044?

Answer:

Least Common Multiple of 40038 and 40044 = 267213612

Step 1: Find the prime factorization of 40038

40038 = 2 x 3 x 6673

Step 2: Find the prime factorization of 40044

40044 = 2 x 2 x 3 x 47 x 71

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

LCM = 267213612 = 2 x 2 x 3 x 47 x 71 x 6673

Step 4: Therefore, the least common multiple of 40038 and 40044 is 267213612.