Least Common Multiple of 4356 and 4362

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 4356 and 4362 the smallest integer that is 3166812 that is divisible by both numbers.

Least Common Multiple (LCM) of 4356 and 4362 is 3166812.

LCM(4356,4362) = 3166812

LCM of 4356 and 4362

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

LCM of:
and

Least Common Multiple of 4356 and 4362

LCM of 4356 and 4362 is 3166812

Least common multiple can be found by multiplying the highest exponent prime factors of 4356 and 4362. First we will calculate the prime factors of 4356 and 4362.

Prime Factorization of 4356


2 4356
2 2178
3 1089
3 363
11 121
11 11
1

Prime factors of 4356 are 2, 3,11. Prime factorization of 4356 in exponential form is:

4356 = 22×32×112

Prime Factorization of 4362


2 4362
3 2181
727 727
1

Prime factors of 4362 are 2, 3,727. Prime factorization of 4362 in exponential form is:

4362 = 21×31×7271

Now multiplying the highest exponent prime factors to calculate the LCM of 4356 and 4362.

LCM(4356,4362) = 22×32×112×7271
LCM(4356,4362) = 3166812

Factors of 4356

List of positive integer factors of 4356 that divides 4356 without a remainder.

1, 2, 3, 4, 6, 9, 11, 12, 18, 22, 33, 36, 44, 66, 99, 121, 132, 198, 242, 363, 396, 484, 726, 1089, 1452, 2178, 4356

Factors of 4362

List of positive integer factors of 4362 that divides 4362 without a remainder.

1, 2, 3, 6, 727, 1454, 2181, 4362

Least Common Multiple of 4356 and 4362 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 4356 and 4362, than apply into the LCM equation.

GCF(4356,4362) = 6
LCM(4356,4362) = ( 4356 × 4362) / 6
LCM(4356,4362) = 19000872 / 6
LCM(4356,4362) = 3166812

Properties of LCM 4356 and 4362

(i) The LCM of 4362 and 4356 is associative

LCM of 4356 and 4362 = LCM of 4362 and 4356

Related Least Common Multiples of 4356

Related Least Common Multiples of 4362

Frequently Asked Questions on LCM of 4356 and 4362

1. What is the LCM of 4356 and 4362?

Answer: LCM of 4356 and 4362 is 3166812.

2. What are the Factors of 4356?

Answer: Factors of 4356 are 1, 2, 3, 4, 6, 9, 11, 12, 18, 22, 33, 36, 44, 66, 99, 121, 132, 198, 242, 363, 396, 484, 726, 1089, 1452, 2178, 4356. There are 27 integers that are factors of 4356. The greatest factor of 4356 is 4356.

3. What are the Factors of 4362?

Answer: Factors of 4362 are 1, 2, 3, 6, 727, 1454, 2181, 4362. There are 8 integers that are factors of 4362. The greatest factor of 4362 is 4362.

4. How to Find the LCM of 4356 and 4362?

Answer:

Least Common Multiple of 4356 and 4362 = 3166812

Step 1: Find the prime factorization of 4356

4356 = 2 x 2 x 3 x 3 x 11 x 11

Step 2: Find the prime factorization of 4362

4362 = 2 x 3 x 727

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

LCM = 3166812 = 2 x 2 x 3 x 3 x 11 x 11 x 727

Step 4: Therefore, the least common multiple of 4356 and 4362 is 3166812.