Least Common Multiple of 22428 and 22436

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 22428 and 22436 the smallest integer that is 125798652 that is divisible by both numbers.

Least Common Multiple (LCM) of 22428 and 22436 is 125798652.

LCM(22428,22436) = 125798652

LCM of 22428 and 22436

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

LCM of:
and

Least Common Multiple of 22428 and 22436

LCM of 22428 and 22436 is 125798652

Least common multiple can be found by multiplying the highest exponent prime factors of 22428 and 22436. First we will calculate the prime factors of 22428 and 22436.

Prime Factorization of 22428


2 22428
2 11214
3 5607
3 1869
7 623
89 89
1

Prime factors of 22428 are 2, 3, 7,89. Prime factorization of 22428 in exponential form is:

22428 = 22×32×71×891

Prime Factorization of 22436


2 22436
2 11218
71 5609
79 79
1

Prime factors of 22436 are 2, 71,79. Prime factorization of 22436 in exponential form is:

22436 = 22×711×791

Now multiplying the highest exponent prime factors to calculate the LCM of 22428 and 22436.

LCM(22428,22436) = 22×32×71×711×791×891
LCM(22428,22436) = 125798652

Factors of 22428

List of positive integer factors of 22428 that divides 22428 without a remainder.

1, 2, 3, 4, 6, 7, 9, 12, 14, 18, 21, 28, 36, 42, 63, 84, 89, 126, 178, 252, 267, 356, 534, 623, 801, 1068, 1246, 1602, 1869, 2492, 3204, 3738, 5607, 7476, 11214, 22428

Factors of 22436

List of positive integer factors of 22436 that divides 22436 without a remainder.

1, 2, 4, 71, 79, 142, 158, 284, 316, 5609, 11218, 22436

Least Common Multiple of 22428 and 22436 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 22428 and 22436, than apply into the LCM equation.

GCF(22428,22436) = 4
LCM(22428,22436) = ( 22428 × 22436) / 4
LCM(22428,22436) = 503194608 / 4
LCM(22428,22436) = 125798652

Properties of LCM 22428 and 22436

(i) The LCM of 22436 and 22428 is associative

LCM of 22428 and 22436 = LCM of 22436 and 22428

Related Least Common Multiples of 22428

Related Least Common Multiples of 22436

Frequently Asked Questions on LCM of 22428 and 22436

1. What is the LCM of 22428 and 22436?

Answer: LCM of 22428 and 22436 is 125798652.

2. What are the Factors of 22428?

Answer: Factors of 22428 are 1, 2, 3, 4, 6, 7, 9, 12, 14, 18, 21, 28, 36, 42, 63, 84, 89, 126, 178, 252, 267, 356, 534, 623, 801, 1068, 1246, 1602, 1869, 2492, 3204, 3738, 5607, 7476, 11214, 22428. There are 36 integers that are factors of 22428. The greatest factor of 22428 is 22428.

3. What are the Factors of 22436?

Answer: Factors of 22436 are 1, 2, 4, 71, 79, 142, 158, 284, 316, 5609, 11218, 22436. There are 12 integers that are factors of 22436. The greatest factor of 22436 is 22436.

4. How to Find the LCM of 22428 and 22436?

Answer:

Least Common Multiple of 22428 and 22436 = 125798652

Step 1: Find the prime factorization of 22428

22428 = 2 x 2 x 3 x 3 x 7 x 89

Step 2: Find the prime factorization of 22436

22436 = 2 x 2 x 71 x 79

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

LCM = 125798652 = 2 x 2 x 3 x 3 x 7 x 71 x 79 x 89

Step 4: Therefore, the least common multiple of 22428 and 22436 is 125798652.