Least Common Multiple of 269 and 274

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 269 and 274 the smallest integer that is 73706 that is divisible by both numbers.

Least Common Multiple (LCM) of 269 and 274 is 73706.

LCM(269,274) = 73706

LCM of 269 and 274

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

LCM of:
and

Least Common Multiple of 269 and 274

LCM of 269 and 274 is 73706

Least common multiple can be found by multiplying the highest exponent prime factors of 269 and 274. First we will calculate the prime factors of 269 and 274.

Prime Factorization of 269


269 269
1

Prime factors of 269 are 269. Prime factorization of 269 in exponential form is:

269 = 2691

Prime Factorization of 274


2 274
137 137
1

Prime factors of 274 are 2,137. Prime factorization of 274 in exponential form is:

274 = 21×1371

Now multiplying the highest exponent prime factors to calculate the LCM of 269 and 274.

LCM(269,274) = 21×1371×2691
LCM(269,274) = 73706

Factors of 269

List of positive integer factors of 269 that divides 269 without a remainder.

1, 269

Factors of 274

List of positive integer factors of 274 that divides 274 without a remainder.

1, 2, 137, 274

Least Common Multiple of 269 and 274 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 269 and 274, than apply into the LCM equation.

GCF(269,274) = 1
LCM(269,274) = ( 269 × 274) / 1
LCM(269,274) = 73706 / 1
LCM(269,274) = 73706

Properties of LCM 269 and 274

(i) The LCM of 274 and 269 is associative

LCM of 269 and 274 = LCM of 274 and 269

Related Least Common Multiples of 269

Related Least Common Multiples of 274

Frequently Asked Questions on LCM of 269 and 274

1. What is the LCM of 269 and 274?

Answer: LCM of 269 and 274 is 73706.

2. What are the Factors of 269?

Answer: Factors of 269 are 1, 269. There are 2 integers that are factors of 269. The greatest factor of 269 is 269.

3. What are the Factors of 274?

Answer: Factors of 274 are 1, 2, 137, 274. There are 4 integers that are factors of 274. The greatest factor of 274 is 274.

4. How to Find the LCM of 269 and 274?

Answer:

Least Common Multiple of 269 and 274 = 73706

Step 1: Find the prime factorization of 269

269 = 269

Step 2: Find the prime factorization of 274

274 = 2 x 137

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

LCM = 73706 = 2 x 137 x 269

Step 4: Therefore, the least common multiple of 269 and 274 is 73706.