Least Common Multiple of 4350 and 4356

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 4350 and 4356 the smallest integer that is 3158100 that is divisible by both numbers.

Least Common Multiple (LCM) of 4350 and 4356 is 3158100.

LCM(4350,4356) = 3158100

LCM of 4350 and 4356

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

LCM of:
and

Least Common Multiple of 4350 and 4356

LCM of 4350 and 4356 is 3158100

Least common multiple can be found by multiplying the highest exponent prime factors of 4350 and 4356. First we will calculate the prime factors of 4350 and 4356.

Prime Factorization of 4350


2 4350
3 2175
5 725
5 145
29 29
1

Prime factors of 4350 are 2, 3, 5,29. Prime factorization of 4350 in exponential form is:

4350 = 21×31×52×291

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

Now multiplying the highest exponent prime factors to calculate the LCM of 4350 and 4356.

LCM(4350,4356) = 22×32×52×112×291
LCM(4350,4356) = 3158100

Factors of 4350

List of positive integer factors of 4350 that divides 4350 without a remainder.

1, 2, 3, 5, 6, 10, 15, 25, 29, 30, 50, 58, 75, 87, 145, 150, 174, 290, 435, 725, 870, 1450, 2175, 4350

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

Least Common Multiple of 4350 and 4356 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 4350 and 4356, than apply into the LCM equation.

GCF(4350,4356) = 6
LCM(4350,4356) = ( 4350 × 4356) / 6
LCM(4350,4356) = 18948600 / 6
LCM(4350,4356) = 3158100

Properties of LCM 4350 and 4356

(i) The LCM of 4356 and 4350 is associative

LCM of 4350 and 4356 = LCM of 4356 and 4350

Related Least Common Multiples of 4350

Related Least Common Multiples of 4356

Frequently Asked Questions on LCM of 4350 and 4356

1. What is the LCM of 4350 and 4356?

Answer: LCM of 4350 and 4356 is 3158100.

2. What are the Factors of 4350?

Answer: Factors of 4350 are 1, 2, 3, 5, 6, 10, 15, 25, 29, 30, 50, 58, 75, 87, 145, 150, 174, 290, 435, 725, 870, 1450, 2175, 4350. There are 24 integers that are factors of 4350. The greatest factor of 4350 is 4350.

3. 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.

4. How to Find the LCM of 4350 and 4356?

Answer:

Least Common Multiple of 4350 and 4356 = 3158100

Step 1: Find the prime factorization of 4350

4350 = 2 x 3 x 5 x 5 x 29

Step 2: Find the prime factorization of 4356

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

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

LCM = 3158100 = 2 x 2 x 3 x 3 x 5 x 5 x 11 x 11 x 29

Step 4: Therefore, the least common multiple of 4350 and 4356 is 3158100.