Least Common Multiple of 7277 and 7281

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 7277 and 7281 the smallest integer that is 52983837 that is divisible by both numbers.

Least Common Multiple (LCM) of 7277 and 7281 is 52983837.

LCM(7277,7281) = 52983837

LCM of 7277 and 7281

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

LCM of:
and

Least Common Multiple of 7277 and 7281

LCM of 7277 and 7281 is 52983837

Least common multiple can be found by multiplying the highest exponent prime factors of 7277 and 7281. First we will calculate the prime factors of 7277 and 7281.

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

Prime Factorization of 7281


3 7281
3 2427
809 809
1

Prime factors of 7281 are 3,809. Prime factorization of 7281 in exponential form is:

7281 = 32×8091

Now multiplying the highest exponent prime factors to calculate the LCM of 7277 and 7281.

LCM(7277,7281) = 32×191×3831×8091
LCM(7277,7281) = 52983837

Factors of 7277

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

1, 19, 383, 7277

Factors of 7281

List of positive integer factors of 7281 that divides 7281 without a remainder.

1, 3, 9, 809, 2427, 7281

Least Common Multiple of 7277 and 7281 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 7277 and 7281, than apply into the LCM equation.

GCF(7277,7281) = 1
LCM(7277,7281) = ( 7277 × 7281) / 1
LCM(7277,7281) = 52983837 / 1
LCM(7277,7281) = 52983837

Properties of LCM 7277 and 7281

(i) The LCM of 7281 and 7277 is associative

LCM of 7277 and 7281 = LCM of 7281 and 7277

Related Least Common Multiples of 7277

Related Least Common Multiples of 7281

Frequently Asked Questions on LCM of 7277 and 7281

1. What is the LCM of 7277 and 7281?

Answer: LCM of 7277 and 7281 is 52983837.

2. 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.

3. What are the Factors of 7281?

Answer: Factors of 7281 are 1, 3, 9, 809, 2427, 7281. There are 6 integers that are factors of 7281. The greatest factor of 7281 is 7281.

4. How to Find the LCM of 7277 and 7281?

Answer:

Least Common Multiple of 7277 and 7281 = 52983837

Step 1: Find the prime factorization of 7277

7277 = 19 x 383

Step 2: Find the prime factorization of 7281

7281 = 3 x 3 x 809

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

LCM = 52983837 = 3 x 3 x 19 x 383 x 809

Step 4: Therefore, the least common multiple of 7277 and 7281 is 52983837.