Least Common Multiple of 257 and 264

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 264 the smallest integer that is 67848 that is divisible by both numbers.

Least Common Multiple (LCM) of 257 and 264 is 67848.

LCM(257,264) = 67848

LCM of 257 and 264

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

LCM of:
and

Least Common Multiple of 257 and 264

LCM of 257 and 264 is 67848

Least common multiple can be found by multiplying the highest exponent prime factors of 257 and 264. First we will calculate the prime factors of 257 and 264.

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 264


2 264
2 132
2 66
3 33
11 11
1

Prime factors of 264 are 2, 3,11. Prime factorization of 264 in exponential form is:

264 = 23×31×111

Now multiplying the highest exponent prime factors to calculate the LCM of 257 and 264.

LCM(257,264) = 23×31×111×2571
LCM(257,264) = 67848

Factors of 257

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

1, 257

Factors of 264

List of positive integer factors of 264 that divides 264 without a remainder.

1, 2, 3, 4, 6, 8, 11, 12, 22, 24, 33, 44, 66, 88, 132, 264

Least Common Multiple of 257 and 264 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 264, than apply into the LCM equation.

GCF(257,264) = 1
LCM(257,264) = ( 257 × 264) / 1
LCM(257,264) = 67848 / 1
LCM(257,264) = 67848

Properties of LCM 257 and 264

(i) The LCM of 264 and 257 is associative

LCM of 257 and 264 = LCM of 264 and 257

Related Least Common Multiples of 257

Related Least Common Multiples of 264

Frequently Asked Questions on LCM of 257 and 264

1. What is the LCM of 257 and 264?

Answer: LCM of 257 and 264 is 67848.

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 264?

Answer: Factors of 264 are 1, 2, 3, 4, 6, 8, 11, 12, 22, 24, 33, 44, 66, 88, 132, 264. There are 16 integers that are factors of 264. The greatest factor of 264 is 264.

4. How to Find the LCM of 257 and 264?

Answer:

Least Common Multiple of 257 and 264 = 67848

Step 1: Find the prime factorization of 257

257 = 257

Step 2: Find the prime factorization of 264

264 = 2 x 2 x 2 x 3 x 11

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

LCM = 67848 = 2 x 2 x 2 x 3 x 11 x 257

Step 4: Therefore, the least common multiple of 257 and 264 is 67848.