Least Common Multiple of 257 and 265

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 265 the smallest integer that is 68105 that is divisible by both numbers.

Least Common Multiple (LCM) of 257 and 265 is 68105.

LCM(257,265) = 68105

LCM of 257 and 265

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

LCM of:
and

Least Common Multiple of 257 and 265

LCM of 257 and 265 is 68105

Least common multiple can be found by multiplying the highest exponent prime factors of 257 and 265. First we will calculate the prime factors of 257 and 265.

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 265


5 265
53 53
1

Prime factors of 265 are 5,53. Prime factorization of 265 in exponential form is:

265 = 51×531

Now multiplying the highest exponent prime factors to calculate the LCM of 257 and 265.

LCM(257,265) = 51×531×2571
LCM(257,265) = 68105

Factors of 257

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

1, 257

Factors of 265

List of positive integer factors of 265 that divides 265 without a remainder.

1, 5, 53, 265

Least Common Multiple of 257 and 265 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 265, than apply into the LCM equation.

GCF(257,265) = 1
LCM(257,265) = ( 257 × 265) / 1
LCM(257,265) = 68105 / 1
LCM(257,265) = 68105

Properties of LCM 257 and 265

(i) The LCM of 265 and 257 is associative

LCM of 257 and 265 = LCM of 265 and 257

Related Least Common Multiples of 257

Related Least Common Multiples of 265

Frequently Asked Questions on LCM of 257 and 265

1. What is the LCM of 257 and 265?

Answer: LCM of 257 and 265 is 68105.

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 265?

Answer: Factors of 265 are 1, 5, 53, 265. There are 4 integers that are factors of 265. The greatest factor of 265 is 265.

4. How to Find the LCM of 257 and 265?

Answer:

Least Common Multiple of 257 and 265 = 68105

Step 1: Find the prime factorization of 257

257 = 257

Step 2: Find the prime factorization of 265

265 = 5 x 53

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

LCM = 68105 = 5 x 53 x 257

Step 4: Therefore, the least common multiple of 257 and 265 is 68105.