Least Common Multiple of 40056 and 40061

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 40056 and 40061 the smallest integer that is 1604683416 that is divisible by both numbers.

Least Common Multiple (LCM) of 40056 and 40061 is 1604683416.

LCM(40056,40061) = 1604683416

LCM of 40056 and 40061

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

LCM of:
and

Least Common Multiple of 40056 and 40061

LCM of 40056 and 40061 is 1604683416

Least common multiple can be found by multiplying the highest exponent prime factors of 40056 and 40061. First we will calculate the prime factors of 40056 and 40061.

Prime Factorization of 40056


2 40056
2 20028
2 10014
3 5007
1669 1669
1

Prime factors of 40056 are 2, 3,1669. Prime factorization of 40056 in exponential form is:

40056 = 23×31×16691

Prime Factorization of 40061


7 40061
59 5723
97 97
1

Prime factors of 40061 are 7, 59,97. Prime factorization of 40061 in exponential form is:

40061 = 71×591×971

Now multiplying the highest exponent prime factors to calculate the LCM of 40056 and 40061.

LCM(40056,40061) = 23×31×71×591×971×16691
LCM(40056,40061) = 1604683416

Factors of 40056

List of positive integer factors of 40056 that divides 40056 without a remainder.

1, 2, 3, 4, 6, 8, 12, 24, 1669, 3338, 5007, 6676, 10014, 13352, 20028, 40056

Factors of 40061

List of positive integer factors of 40061 that divides 40061 without a remainder.

1, 7, 59, 97, 413, 679, 5723, 40061

Least Common Multiple of 40056 and 40061 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 40056 and 40061, than apply into the LCM equation.

GCF(40056,40061) = 1
LCM(40056,40061) = ( 40056 × 40061) / 1
LCM(40056,40061) = 1604683416 / 1
LCM(40056,40061) = 1604683416

Properties of LCM 40056 and 40061

(i) The LCM of 40061 and 40056 is associative

LCM of 40056 and 40061 = LCM of 40061 and 40056

Related Least Common Multiples of 40056

Related Least Common Multiples of 40061

Frequently Asked Questions on LCM of 40056 and 40061

1. What is the LCM of 40056 and 40061?

Answer: LCM of 40056 and 40061 is 1604683416.

2. What are the Factors of 40056?

Answer: Factors of 40056 are 1, 2, 3, 4, 6, 8, 12, 24, 1669, 3338, 5007, 6676, 10014, 13352, 20028, 40056. There are 16 integers that are factors of 40056. The greatest factor of 40056 is 40056.

3. What are the Factors of 40061?

Answer: Factors of 40061 are 1, 7, 59, 97, 413, 679, 5723, 40061. There are 8 integers that are factors of 40061. The greatest factor of 40061 is 40061.

4. How to Find the LCM of 40056 and 40061?

Answer:

Least Common Multiple of 40056 and 40061 = 1604683416

Step 1: Find the prime factorization of 40056

40056 = 2 x 2 x 2 x 3 x 1669

Step 2: Find the prime factorization of 40061

40061 = 7 x 59 x 97

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

LCM = 1604683416 = 2 x 2 x 2 x 3 x 7 x 59 x 97 x 1669

Step 4: Therefore, the least common multiple of 40056 and 40061 is 1604683416.