Least Common Multiple of 257 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 257 and 261 the smallest integer that is 67077 that is divisible by both numbers.

Least Common Multiple (LCM) of 257 and 261 is 67077.

LCM(257,261) = 67077

LCM of 257 and 261

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

LCM of:
and

Least Common Multiple of 257 and 261

LCM of 257 and 261 is 67077

Least common multiple can be found by multiplying the highest exponent prime factors of 257 and 261. First we will calculate the prime factors of 257 and 261.

Prime Factorization of 257


257 257
1

Prime factors of 257 are 257. Prime factorization of 257 in exponential form is:

257 = 2571

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 257 and 261.

LCM(257,261) = 32×291×2571
LCM(257,261) = 67077

Factors of 257

List of positive integer factors of 257 that divides 257 without a remainder.

1, 257

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 257 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 257 and 261, than apply into the LCM equation.

GCF(257,261) = 1
LCM(257,261) = ( 257 × 261) / 1
LCM(257,261) = 67077 / 1
LCM(257,261) = 67077

Properties of LCM 257 and 261

(i) The LCM of 261 and 257 is associative

LCM of 257 and 261 = LCM of 261 and 257

Related Least Common Multiples of 257

Related Least Common Multiples of 261

Frequently Asked Questions on LCM of 257 and 261

1. What is the LCM of 257 and 261?

Answer: LCM of 257 and 261 is 67077.

2. What are the Factors of 257?

Answer: Factors of 257 are 1, 257. There are 2 integers that are factors of 257. The greatest factor of 257 is 257.

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 257 and 261?

Answer:

Least Common Multiple of 257 and 261 = 67077

Step 1: Find the prime factorization of 257

257 = 257

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 = 67077 = 3 x 3 x 29 x 257

Step 4: Therefore, the least common multiple of 257 and 261 is 67077.