Least Common Multiple of 257 and 262

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 262 the smallest integer that is 67334 that is divisible by both numbers.

Least Common Multiple (LCM) of 257 and 262 is 67334.

LCM(257,262) = 67334

LCM of 257 and 262

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

LCM of:
and

Least Common Multiple of 257 and 262

LCM of 257 and 262 is 67334

Least common multiple can be found by multiplying the highest exponent prime factors of 257 and 262. First we will calculate the prime factors of 257 and 262.

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 262


2 262
131 131
1

Prime factors of 262 are 2,131. Prime factorization of 262 in exponential form is:

262 = 21×1311

Now multiplying the highest exponent prime factors to calculate the LCM of 257 and 262.

LCM(257,262) = 21×1311×2571
LCM(257,262) = 67334

Factors of 257

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

1, 257

Factors of 262

List of positive integer factors of 262 that divides 262 without a remainder.

1, 2, 131, 262

Least Common Multiple of 257 and 262 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 262, than apply into the LCM equation.

GCF(257,262) = 1
LCM(257,262) = ( 257 × 262) / 1
LCM(257,262) = 67334 / 1
LCM(257,262) = 67334

Properties of LCM 257 and 262

(i) The LCM of 262 and 257 is associative

LCM of 257 and 262 = LCM of 262 and 257

Related Least Common Multiples of 257

Related Least Common Multiples of 262

Frequently Asked Questions on LCM of 257 and 262

1. What is the LCM of 257 and 262?

Answer: LCM of 257 and 262 is 67334.

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 262?

Answer: Factors of 262 are 1, 2, 131, 262. There are 4 integers that are factors of 262. The greatest factor of 262 is 262.

4. How to Find the LCM of 257 and 262?

Answer:

Least Common Multiple of 257 and 262 = 67334

Step 1: Find the prime factorization of 257

257 = 257

Step 2: Find the prime factorization of 262

262 = 2 x 131

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

LCM = 67334 = 2 x 131 x 257

Step 4: Therefore, the least common multiple of 257 and 262 is 67334.