Least Common Multiple of 7268 and 7272

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 7268 and 7272 the smallest integer that is 13213224 that is divisible by both numbers.

Least Common Multiple (LCM) of 7268 and 7272 is 13213224.

LCM(7268,7272) = 13213224

LCM of 7268 and 7272

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

LCM of:
and

Least Common Multiple of 7268 and 7272

LCM of 7268 and 7272 is 13213224

Least common multiple can be found by multiplying the highest exponent prime factors of 7268 and 7272. First we will calculate the prime factors of 7268 and 7272.

Prime Factorization of 7268


2 7268
2 3634
23 1817
79 79
1

Prime factors of 7268 are 2, 23,79. Prime factorization of 7268 in exponential form is:

7268 = 22×231×791

Prime Factorization of 7272


2 7272
2 3636
2 1818
3 909
3 303
101 101
1

Prime factors of 7272 are 2, 3,101. Prime factorization of 7272 in exponential form is:

7272 = 23×32×1011

Now multiplying the highest exponent prime factors to calculate the LCM of 7268 and 7272.

LCM(7268,7272) = 23×32×231×791×1011
LCM(7268,7272) = 13213224

Factors of 7268

List of positive integer factors of 7268 that divides 7268 without a remainder.

1, 2, 4, 23, 46, 79, 92, 158, 316, 1817, 3634, 7268

Factors of 7272

List of positive integer factors of 7272 that divides 7272 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 36, 72, 101, 202, 303, 404, 606, 808, 909, 1212, 1818, 2424, 3636, 7272

Least Common Multiple of 7268 and 7272 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 7268 and 7272, than apply into the LCM equation.

GCF(7268,7272) = 4
LCM(7268,7272) = ( 7268 × 7272) / 4
LCM(7268,7272) = 52852896 / 4
LCM(7268,7272) = 13213224

Properties of LCM 7268 and 7272

(i) The LCM of 7272 and 7268 is associative

LCM of 7268 and 7272 = LCM of 7272 and 7268

Related Least Common Multiples of 7268

Related Least Common Multiples of 7272

Frequently Asked Questions on LCM of 7268 and 7272

1. What is the LCM of 7268 and 7272?

Answer: LCM of 7268 and 7272 is 13213224.

2. What are the Factors of 7268?

Answer: Factors of 7268 are 1, 2, 4, 23, 46, 79, 92, 158, 316, 1817, 3634, 7268. There are 12 integers that are factors of 7268. The greatest factor of 7268 is 7268.

3. What are the Factors of 7272?

Answer: Factors of 7272 are 1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 36, 72, 101, 202, 303, 404, 606, 808, 909, 1212, 1818, 2424, 3636, 7272. There are 24 integers that are factors of 7272. The greatest factor of 7272 is 7272.

4. How to Find the LCM of 7268 and 7272?

Answer:

Least Common Multiple of 7268 and 7272 = 13213224

Step 1: Find the prime factorization of 7268

7268 = 2 x 2 x 23 x 79

Step 2: Find the prime factorization of 7272

7272 = 2 x 2 x 2 x 3 x 3 x 101

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

LCM = 13213224 = 2 x 2 x 2 x 3 x 3 x 23 x 79 x 101

Step 4: Therefore, the least common multiple of 7268 and 7272 is 13213224.