Least Common Multiple of 40049 and 40056

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 40049 and 40056 the smallest integer that is 1604202744 that is divisible by both numbers.

Least Common Multiple (LCM) of 40049 and 40056 is 1604202744.

LCM(40049,40056) = 1604202744

LCM of 40049 and 40056

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

LCM of:
and

Least Common Multiple of 40049 and 40056

LCM of 40049 and 40056 is 1604202744

Least common multiple can be found by multiplying the highest exponent prime factors of 40049 and 40056. First we will calculate the prime factors of 40049 and 40056.

Prime Factorization of 40049


29 40049
1381 1381
1

Prime factors of 40049 are 29,1381. Prime factorization of 40049 in exponential form is:

40049 = 291×13811

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

Now multiplying the highest exponent prime factors to calculate the LCM of 40049 and 40056.

LCM(40049,40056) = 23×31×291×13811×16691
LCM(40049,40056) = 1604202744

Factors of 40049

List of positive integer factors of 40049 that divides 40049 without a remainder.

1, 29, 1381, 40049

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

Least Common Multiple of 40049 and 40056 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 40049 and 40056, than apply into the LCM equation.

GCF(40049,40056) = 1
LCM(40049,40056) = ( 40049 × 40056) / 1
LCM(40049,40056) = 1604202744 / 1
LCM(40049,40056) = 1604202744

Properties of LCM 40049 and 40056

(i) The LCM of 40056 and 40049 is associative

LCM of 40049 and 40056 = LCM of 40056 and 40049

Related Least Common Multiples of 40049

Related Least Common Multiples of 40056

Frequently Asked Questions on LCM of 40049 and 40056

1. What is the LCM of 40049 and 40056?

Answer: LCM of 40049 and 40056 is 1604202744.

2. What are the Factors of 40049?

Answer: Factors of 40049 are 1, 29, 1381, 40049. There are 4 integers that are factors of 40049. The greatest factor of 40049 is 40049.

3. 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.

4. How to Find the LCM of 40049 and 40056?

Answer:

Least Common Multiple of 40049 and 40056 = 1604202744

Step 1: Find the prime factorization of 40049

40049 = 29 x 1381

Step 2: Find the prime factorization of 40056

40056 = 2 x 2 x 2 x 3 x 1669

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

LCM = 1604202744 = 2 x 2 x 2 x 3 x 29 x 1381 x 1669

Step 4: Therefore, the least common multiple of 40049 and 40056 is 1604202744.