Least Common Multiple of 253 and 261

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 253 and 261 the smallest integer that is 66033 that is divisible by both numbers.

Least Common Multiple (LCM) of 253 and 261 is 66033.

LCM(253,261) = 66033

LCM of 253 and 261

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

LCM of:
and

Least Common Multiple of 253 and 261

LCM of 253 and 261 is 66033

Least common multiple can be found by multiplying the highest exponent prime factors of 253 and 261. First we will calculate the prime factors of 253 and 261.

Prime Factorization of 253


11 253
23 23
1

Prime factors of 253 are 11,23. Prime factorization of 253 in exponential form is:

253 = 111×231

Prime Factorization of 261


3 261
3 87
29 29
1

Prime factors of 261 are 3,29. Prime factorization of 261 in exponential form is:

261 = 32×291

Now multiplying the highest exponent prime factors to calculate the LCM of 253 and 261.

LCM(253,261) = 32×111×231×291
LCM(253,261) = 66033

Factors of 253

List of positive integer factors of 253 that divides 253 without a remainder.

1, 11, 23, 253

Factors of 261

List of positive integer factors of 261 that divides 261 without a remainder.

1, 3, 9, 29, 87, 261

Least Common Multiple of 253 and 261 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 253 and 261, than apply into the LCM equation.

GCF(253,261) = 1
LCM(253,261) = ( 253 × 261) / 1
LCM(253,261) = 66033 / 1
LCM(253,261) = 66033

Properties of LCM 253 and 261

(i) The LCM of 261 and 253 is associative

LCM of 253 and 261 = LCM of 261 and 253

Related Least Common Multiples of 253

Related Least Common Multiples of 261

Frequently Asked Questions on LCM of 253 and 261

1. What is the LCM of 253 and 261?

Answer: LCM of 253 and 261 is 66033.

2. What are the Factors of 253?

Answer: Factors of 253 are 1, 11, 23, 253. There are 4 integers that are factors of 253. The greatest factor of 253 is 253.

3. What are the Factors of 261?

Answer: Factors of 261 are 1, 3, 9, 29, 87, 261. There are 6 integers that are factors of 261. The greatest factor of 261 is 261.

4. How to Find the LCM of 253 and 261?

Answer:

Least Common Multiple of 253 and 261 = 66033

Step 1: Find the prime factorization of 253

253 = 11 x 23

Step 2: Find the prime factorization of 261

261 = 3 x 3 x 29

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

LCM = 66033 = 3 x 3 x 11 x 23 x 29

Step 4: Therefore, the least common multiple of 253 and 261 is 66033.