Least Common Multiple of 254 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 254 and 262 the smallest integer that is 33274 that is divisible by both numbers.

Least Common Multiple (LCM) of 254 and 262 is 33274.

LCM(254,262) = 33274

LCM of 254 and 262

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

LCM of:
and

Least Common Multiple of 254 and 262

LCM of 254 and 262 is 33274

Least common multiple can be found by multiplying the highest exponent prime factors of 254 and 262. First we will calculate the prime factors of 254 and 262.

Prime Factorization of 254


2 254
127 127
1

Prime factors of 254 are 2,127. Prime factorization of 254 in exponential form is:

254 = 21×1271

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 254 and 262.

LCM(254,262) = 21×1271×1311
LCM(254,262) = 33274

Factors of 254

List of positive integer factors of 254 that divides 254 without a remainder.

1, 2, 127, 254

Factors of 262

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

1, 2, 131, 262

Least Common Multiple of 254 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 254 and 262, than apply into the LCM equation.

GCF(254,262) = 2
LCM(254,262) = ( 254 × 262) / 2
LCM(254,262) = 66548 / 2
LCM(254,262) = 33274

Properties of LCM 254 and 262

(i) The LCM of 262 and 254 is associative

LCM of 254 and 262 = LCM of 262 and 254

Related Least Common Multiples of 254

Related Least Common Multiples of 262

Frequently Asked Questions on LCM of 254 and 262

1. What is the LCM of 254 and 262?

Answer: LCM of 254 and 262 is 33274.

2. What are the Factors of 254?

Answer: Factors of 254 are 1, 2, 127, 254. There are 4 integers that are factors of 254. The greatest factor of 254 is 254.

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 254 and 262?

Answer:

Least Common Multiple of 254 and 262 = 33274

Step 1: Find the prime factorization of 254

254 = 2 x 127

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 = 33274 = 2 x 127 x 131

Step 4: Therefore, the least common multiple of 254 and 262 is 33274.