Least Common Multiple of 5334 and 5342

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 5342 the smallest integer that is 14247114 that is divisible by both numbers.

Least Common Multiple (LCM) of 5334 and 5342 is 14247114.

LCM(5334,5342) = 14247114

LCM of 5334 and 5342

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

LCM of:
and

Least Common Multiple of 5334 and 5342

LCM of 5334 and 5342 is 14247114

Least common multiple can be found by multiplying the highest exponent prime factors of 5334 and 5342. First we will calculate the prime factors of 5334 and 5342.

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 5342


2 5342
2671 2671
1

Prime factors of 5342 are 2,2671. Prime factorization of 5342 in exponential form is:

5342 = 21×26711

Now multiplying the highest exponent prime factors to calculate the LCM of 5334 and 5342.

LCM(5334,5342) = 21×31×71×1271×26711
LCM(5334,5342) = 14247114

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 5342

List of positive integer factors of 5342 that divides 5342 without a remainder.

1, 2, 2671, 5342

Least Common Multiple of 5334 and 5342 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 5342, than apply into the LCM equation.

GCF(5334,5342) = 2
LCM(5334,5342) = ( 5334 × 5342) / 2
LCM(5334,5342) = 28494228 / 2
LCM(5334,5342) = 14247114

Properties of LCM 5334 and 5342

(i) The LCM of 5342 and 5334 is associative

LCM of 5334 and 5342 = LCM of 5342 and 5334

Related Least Common Multiples of 5334

Related Least Common Multiples of 5342

Frequently Asked Questions on LCM of 5334 and 5342

1. What is the LCM of 5334 and 5342?

Answer: LCM of 5334 and 5342 is 14247114.

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 5342?

Answer: Factors of 5342 are 1, 2, 2671, 5342. There are 4 integers that are factors of 5342. The greatest factor of 5342 is 5342.

4. How to Find the LCM of 5334 and 5342?

Answer:

Least Common Multiple of 5334 and 5342 = 14247114

Step 1: Find the prime factorization of 5334

5334 = 2 x 3 x 7 x 127

Step 2: Find the prime factorization of 5342

5342 = 2 x 2671

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

LCM = 14247114 = 2 x 3 x 7 x 127 x 2671

Step 4: Therefore, the least common multiple of 5334 and 5342 is 14247114.