Least Common Multiple of 7220 and 7227

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 7220 and 7227 the smallest integer that is 52178940 that is divisible by both numbers.

Least Common Multiple (LCM) of 7220 and 7227 is 52178940.

LCM(7220,7227) = 52178940

LCM of 7220 and 7227

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

LCM of:
and

Least Common Multiple of 7220 and 7227

LCM of 7220 and 7227 is 52178940

Least common multiple can be found by multiplying the highest exponent prime factors of 7220 and 7227. First we will calculate the prime factors of 7220 and 7227.

Prime Factorization of 7220


2 7220
2 3610
5 1805
19 361
19 19
1

Prime factors of 7220 are 2, 5,19. Prime factorization of 7220 in exponential form is:

7220 = 22×51×192

Prime Factorization of 7227


3 7227
3 2409
11 803
73 73
1

Prime factors of 7227 are 3, 11,73. Prime factorization of 7227 in exponential form is:

7227 = 32×111×731

Now multiplying the highest exponent prime factors to calculate the LCM of 7220 and 7227.

LCM(7220,7227) = 22×32×51×111×192×731
LCM(7220,7227) = 52178940

Factors of 7220

List of positive integer factors of 7220 that divides 7220 without a remainder.

1, 2, 4, 5, 10, 19, 20, 38, 76, 95, 190, 361, 380, 722, 1444, 1805, 3610, 7220

Factors of 7227

List of positive integer factors of 7227 that divides 7227 without a remainder.

1, 3, 9, 11, 33, 73, 99, 219, 657, 803, 2409, 7227

Least Common Multiple of 7220 and 7227 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 7220 and 7227, than apply into the LCM equation.

GCF(7220,7227) = 1
LCM(7220,7227) = ( 7220 × 7227) / 1
LCM(7220,7227) = 52178940 / 1
LCM(7220,7227) = 52178940

Properties of LCM 7220 and 7227

(i) The LCM of 7227 and 7220 is associative

LCM of 7220 and 7227 = LCM of 7227 and 7220

Related Least Common Multiples of 7220

Related Least Common Multiples of 7227

Frequently Asked Questions on LCM of 7220 and 7227

1. What is the LCM of 7220 and 7227?

Answer: LCM of 7220 and 7227 is 52178940.

2. What are the Factors of 7220?

Answer: Factors of 7220 are 1, 2, 4, 5, 10, 19, 20, 38, 76, 95, 190, 361, 380, 722, 1444, 1805, 3610, 7220. There are 18 integers that are factors of 7220. The greatest factor of 7220 is 7220.

3. What are the Factors of 7227?

Answer: Factors of 7227 are 1, 3, 9, 11, 33, 73, 99, 219, 657, 803, 2409, 7227. There are 12 integers that are factors of 7227. The greatest factor of 7227 is 7227.

4. How to Find the LCM of 7220 and 7227?

Answer:

Least Common Multiple of 7220 and 7227 = 52178940

Step 1: Find the prime factorization of 7220

7220 = 2 x 2 x 5 x 19 x 19

Step 2: Find the prime factorization of 7227

7227 = 3 x 3 x 11 x 73

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

LCM = 52178940 = 2 x 2 x 3 x 3 x 5 x 11 x 19 x 19 x 73

Step 4: Therefore, the least common multiple of 7220 and 7227 is 52178940.