Least Common Multiple of 5334 and 5340

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 5334 and 5340 the smallest integer that is 4747260 that is divisible by both numbers.

Least Common Multiple (LCM) of 5334 and 5340 is 4747260.

LCM(5334,5340) = 4747260

LCM of 5334 and 5340

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

LCM of:
and

Least Common Multiple of 5334 and 5340

LCM of 5334 and 5340 is 4747260

Least common multiple can be found by multiplying the highest exponent prime factors of 5334 and 5340. First we will calculate the prime factors of 5334 and 5340.

Prime Factorization of 5334


2 5334
3 2667
7 889
127 127
1

Prime factors of 5334 are 2, 3, 7,127. Prime factorization of 5334 in exponential form is:

5334 = 21×31×71×1271

Prime Factorization of 5340


2 5340
2 2670
3 1335
5 445
89 89
1

Prime factors of 5340 are 2, 3, 5,89. Prime factorization of 5340 in exponential form is:

5340 = 22×31×51×891

Now multiplying the highest exponent prime factors to calculate the LCM of 5334 and 5340.

LCM(5334,5340) = 22×31×51×71×891×1271
LCM(5334,5340) = 4747260

Factors of 5334

List of positive integer factors of 5334 that divides 5334 without a remainder.

1, 2, 3, 6, 7, 14, 21, 42, 127, 254, 381, 762, 889, 1778, 2667, 5334

Factors of 5340

List of positive integer factors of 5340 that divides 5340 without a remainder.

1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 30, 60, 89, 178, 267, 356, 445, 534, 890, 1068, 1335, 1780, 2670, 5340

Least Common Multiple of 5334 and 5340 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 5334 and 5340, than apply into the LCM equation.

GCF(5334,5340) = 6
LCM(5334,5340) = ( 5334 × 5340) / 6
LCM(5334,5340) = 28483560 / 6
LCM(5334,5340) = 4747260

Properties of LCM 5334 and 5340

(i) The LCM of 5340 and 5334 is associative

LCM of 5334 and 5340 = LCM of 5340 and 5334

Related Least Common Multiples of 5334

Related Least Common Multiples of 5340

Frequently Asked Questions on LCM of 5334 and 5340

1. What is the LCM of 5334 and 5340?

Answer: LCM of 5334 and 5340 is 4747260.

2. What are the Factors of 5334?

Answer: Factors of 5334 are 1, 2, 3, 6, 7, 14, 21, 42, 127, 254, 381, 762, 889, 1778, 2667, 5334. There are 16 integers that are factors of 5334. The greatest factor of 5334 is 5334.

3. What are the Factors of 5340?

Answer: Factors of 5340 are 1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 30, 60, 89, 178, 267, 356, 445, 534, 890, 1068, 1335, 1780, 2670, 5340. There are 24 integers that are factors of 5340. The greatest factor of 5340 is 5340.

4. How to Find the LCM of 5334 and 5340?

Answer:

Least Common Multiple of 5334 and 5340 = 4747260

Step 1: Find the prime factorization of 5334

5334 = 2 x 3 x 7 x 127

Step 2: Find the prime factorization of 5340

5340 = 2 x 2 x 3 x 5 x 89

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

LCM = 4747260 = 2 x 2 x 3 x 5 x 7 x 89 x 127

Step 4: Therefore, the least common multiple of 5334 and 5340 is 4747260.