Least Common Multiple of 7269 and 7277

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 7269 and 7277 the smallest integer that is 52896513 that is divisible by both numbers.

Least Common Multiple (LCM) of 7269 and 7277 is 52896513.

LCM(7269,7277) = 52896513

LCM of 7269 and 7277

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

LCM of:
and

Least Common Multiple of 7269 and 7277

LCM of 7269 and 7277 is 52896513

Least common multiple can be found by multiplying the highest exponent prime factors of 7269 and 7277. First we will calculate the prime factors of 7269 and 7277.

Prime Factorization of 7269


3 7269
2423 2423
1

Prime factors of 7269 are 3,2423. Prime factorization of 7269 in exponential form is:

7269 = 31×24231

Prime Factorization of 7277


19 7277
383 383
1

Prime factors of 7277 are 19,383. Prime factorization of 7277 in exponential form is:

7277 = 191×3831

Now multiplying the highest exponent prime factors to calculate the LCM of 7269 and 7277.

LCM(7269,7277) = 31×191×3831×24231
LCM(7269,7277) = 52896513

Factors of 7269

List of positive integer factors of 7269 that divides 7269 without a remainder.

1, 3, 2423, 7269

Factors of 7277

List of positive integer factors of 7277 that divides 7277 without a remainder.

1, 19, 383, 7277

Least Common Multiple of 7269 and 7277 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 7269 and 7277, than apply into the LCM equation.

GCF(7269,7277) = 1
LCM(7269,7277) = ( 7269 × 7277) / 1
LCM(7269,7277) = 52896513 / 1
LCM(7269,7277) = 52896513

Properties of LCM 7269 and 7277

(i) The LCM of 7277 and 7269 is associative

LCM of 7269 and 7277 = LCM of 7277 and 7269

Related Least Common Multiples of 7269

Related Least Common Multiples of 7277

Frequently Asked Questions on LCM of 7269 and 7277

1. What is the LCM of 7269 and 7277?

Answer: LCM of 7269 and 7277 is 52896513.

2. What are the Factors of 7269?

Answer: Factors of 7269 are 1, 3, 2423, 7269. There are 4 integers that are factors of 7269. The greatest factor of 7269 is 7269.

3. What are the Factors of 7277?

Answer: Factors of 7277 are 1, 19, 383, 7277. There are 4 integers that are factors of 7277. The greatest factor of 7277 is 7277.

4. How to Find the LCM of 7269 and 7277?

Answer:

Least Common Multiple of 7269 and 7277 = 52896513

Step 1: Find the prime factorization of 7269

7269 = 3 x 2423

Step 2: Find the prime factorization of 7277

7277 = 19 x 383

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

LCM = 52896513 = 3 x 19 x 383 x 2423

Step 4: Therefore, the least common multiple of 7269 and 7277 is 52896513.