Least Common Multiple of 22428 and 22433

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 22433 the smallest integer that is 503127324 that is divisible by both numbers.

Least Common Multiple (LCM) of 22428 and 22433 is 503127324.

LCM(22428,22433) = 503127324

LCM of 22428 and 22433

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

LCM of:
and

Least Common Multiple of 22428 and 22433

LCM of 22428 and 22433 is 503127324

Least common multiple can be found by multiplying the highest exponent prime factors of 22428 and 22433. First we will calculate the prime factors of 22428 and 22433.

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 22433


22433 22433
1

Prime factors of 22433 are 22433. Prime factorization of 22433 in exponential form is:

22433 = 224331

Now multiplying the highest exponent prime factors to calculate the LCM of 22428 and 22433.

LCM(22428,22433) = 22×32×71×891×224331
LCM(22428,22433) = 503127324

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 22433

List of positive integer factors of 22433 that divides 22433 without a remainder.

1, 22433

Least Common Multiple of 22428 and 22433 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 22433, than apply into the LCM equation.

GCF(22428,22433) = 1
LCM(22428,22433) = ( 22428 × 22433) / 1
LCM(22428,22433) = 503127324 / 1
LCM(22428,22433) = 503127324

Properties of LCM 22428 and 22433

(i) The LCM of 22433 and 22428 is associative

LCM of 22428 and 22433 = LCM of 22433 and 22428

Related Least Common Multiples of 22428

Related Least Common Multiples of 22433

Frequently Asked Questions on LCM of 22428 and 22433

1. What is the LCM of 22428 and 22433?

Answer: LCM of 22428 and 22433 is 503127324.

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 22433?

Answer: Factors of 22433 are 1, 22433. There are 2 integers that are factors of 22433. The greatest factor of 22433 is 22433.

4. How to Find the LCM of 22428 and 22433?

Answer:

Least Common Multiple of 22428 and 22433 = 503127324

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 22433

22433 = 22433

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

LCM = 503127324 = 2 x 2 x 3 x 3 x 7 x 89 x 22433

Step 4: Therefore, the least common multiple of 22428 and 22433 is 503127324.