Least Common Multiple of 10233 and 10236

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 10233 and 10236 the smallest integer that is 34914996 that is divisible by both numbers.

Least Common Multiple (LCM) of 10233 and 10236 is 34914996.

LCM(10233,10236) = 34914996

LCM of 10233 and 10236

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

LCM of:
and

Least Common Multiple of 10233 and 10236

LCM of 10233 and 10236 is 34914996

Least common multiple can be found by multiplying the highest exponent prime factors of 10233 and 10236. First we will calculate the prime factors of 10233 and 10236.

Prime Factorization of 10233


3 10233
3 3411
3 1137
379 379
1

Prime factors of 10233 are 3,379. Prime factorization of 10233 in exponential form is:

10233 = 33×3791

Prime Factorization of 10236


2 10236
2 5118
3 2559
853 853
1

Prime factors of 10236 are 2, 3,853. Prime factorization of 10236 in exponential form is:

10236 = 22×31×8531

Now multiplying the highest exponent prime factors to calculate the LCM of 10233 and 10236.

LCM(10233,10236) = 22×33×3791×8531
LCM(10233,10236) = 34914996

Factors of 10233

List of positive integer factors of 10233 that divides 10233 without a remainder.

1, 3, 9, 27, 379, 1137, 3411, 10233

Factors of 10236

List of positive integer factors of 10236 that divides 10236 without a remainder.

1, 2, 3, 4, 6, 12, 853, 1706, 2559, 3412, 5118, 10236

Least Common Multiple of 10233 and 10236 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 10233 and 10236, than apply into the LCM equation.

GCF(10233,10236) = 3
LCM(10233,10236) = ( 10233 × 10236) / 3
LCM(10233,10236) = 104744988 / 3
LCM(10233,10236) = 34914996

Properties of LCM 10233 and 10236

(i) The LCM of 10236 and 10233 is associative

LCM of 10233 and 10236 = LCM of 10236 and 10233

Related Least Common Multiples of 10233

Related Least Common Multiples of 10236

Frequently Asked Questions on LCM of 10233 and 10236

1. What is the LCM of 10233 and 10236?

Answer: LCM of 10233 and 10236 is 34914996.

2. What are the Factors of 10233?

Answer: Factors of 10233 are 1, 3, 9, 27, 379, 1137, 3411, 10233. There are 8 integers that are factors of 10233. The greatest factor of 10233 is 10233.

3. What are the Factors of 10236?

Answer: Factors of 10236 are 1, 2, 3, 4, 6, 12, 853, 1706, 2559, 3412, 5118, 10236. There are 12 integers that are factors of 10236. The greatest factor of 10236 is 10236.

4. How to Find the LCM of 10233 and 10236?

Answer:

Least Common Multiple of 10233 and 10236 = 34914996

Step 1: Find the prime factorization of 10233

10233 = 3 x 3 x 3 x 379

Step 2: Find the prime factorization of 10236

10236 = 2 x 2 x 3 x 853

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

LCM = 34914996 = 2 x 2 x 3 x 3 x 3 x 379 x 853

Step 4: Therefore, the least common multiple of 10233 and 10236 is 34914996.