Least Common Multiple of 7270 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 7270 and 7277 the smallest integer that is 52903790 that is divisible by both numbers.

Least Common Multiple (LCM) of 7270 and 7277 is 52903790.

LCM(7270,7277) = 52903790

LCM of 7270 and 7277

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

LCM of:
and

Least Common Multiple of 7270 and 7277

LCM of 7270 and 7277 is 52903790

Least common multiple can be found by multiplying the highest exponent prime factors of 7270 and 7277. First we will calculate the prime factors of 7270 and 7277.

Prime Factorization of 7270


2 7270
5 3635
727 727
1

Prime factors of 7270 are 2, 5,727. Prime factorization of 7270 in exponential form is:

7270 = 21×51×7271

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 7270 and 7277.

LCM(7270,7277) = 21×51×191×3831×7271
LCM(7270,7277) = 52903790

Factors of 7270

List of positive integer factors of 7270 that divides 7270 without a remainder.

1, 2, 5, 10, 727, 1454, 3635, 7270

Factors of 7277

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

1, 19, 383, 7277

Least Common Multiple of 7270 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 7270 and 7277, than apply into the LCM equation.

GCF(7270,7277) = 1
LCM(7270,7277) = ( 7270 × 7277) / 1
LCM(7270,7277) = 52903790 / 1
LCM(7270,7277) = 52903790

Properties of LCM 7270 and 7277

(i) The LCM of 7277 and 7270 is associative

LCM of 7270 and 7277 = LCM of 7277 and 7270

Related Least Common Multiples of 7270

Related Least Common Multiples of 7277

Frequently Asked Questions on LCM of 7270 and 7277

1. What is the LCM of 7270 and 7277?

Answer: LCM of 7270 and 7277 is 52903790.

2. What are the Factors of 7270?

Answer: Factors of 7270 are 1, 2, 5, 10, 727, 1454, 3635, 7270. There are 8 integers that are factors of 7270. The greatest factor of 7270 is 7270.

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 7270 and 7277?

Answer:

Least Common Multiple of 7270 and 7277 = 52903790

Step 1: Find the prime factorization of 7270

7270 = 2 x 5 x 727

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 = 52903790 = 2 x 5 x 19 x 383 x 727

Step 4: Therefore, the least common multiple of 7270 and 7277 is 52903790.