Least Common Multiple of 7272 and 7276

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 7272 and 7276 the smallest integer that is 13227768 that is divisible by both numbers.

Least Common Multiple (LCM) of 7272 and 7276 is 13227768.

LCM(7272,7276) = 13227768

LCM of 7272 and 7276

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

LCM of:
and

Least Common Multiple of 7272 and 7276

LCM of 7272 and 7276 is 13227768

Least common multiple can be found by multiplying the highest exponent prime factors of 7272 and 7276. First we will calculate the prime factors of 7272 and 7276.

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

Prime Factorization of 7276


2 7276
2 3638
17 1819
107 107
1

Prime factors of 7276 are 2, 17,107. Prime factorization of 7276 in exponential form is:

7276 = 22×171×1071

Now multiplying the highest exponent prime factors to calculate the LCM of 7272 and 7276.

LCM(7272,7276) = 23×32×171×1011×1071
LCM(7272,7276) = 13227768

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

Factors of 7276

List of positive integer factors of 7276 that divides 7276 without a remainder.

1, 2, 4, 17, 34, 68, 107, 214, 428, 1819, 3638, 7276

Least Common Multiple of 7272 and 7276 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 7272 and 7276, than apply into the LCM equation.

GCF(7272,7276) = 4
LCM(7272,7276) = ( 7272 × 7276) / 4
LCM(7272,7276) = 52911072 / 4
LCM(7272,7276) = 13227768

Properties of LCM 7272 and 7276

(i) The LCM of 7276 and 7272 is associative

LCM of 7272 and 7276 = LCM of 7276 and 7272

Related Least Common Multiples of 7272

Related Least Common Multiples of 7276

Frequently Asked Questions on LCM of 7272 and 7276

1. What is the LCM of 7272 and 7276?

Answer: LCM of 7272 and 7276 is 13227768.

2. 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.

3. What are the Factors of 7276?

Answer: Factors of 7276 are 1, 2, 4, 17, 34, 68, 107, 214, 428, 1819, 3638, 7276. There are 12 integers that are factors of 7276. The greatest factor of 7276 is 7276.

4. How to Find the LCM of 7272 and 7276?

Answer:

Least Common Multiple of 7272 and 7276 = 13227768

Step 1: Find the prime factorization of 7272

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

Step 2: Find the prime factorization of 7276

7276 = 2 x 2 x 17 x 107

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

LCM = 13227768 = 2 x 2 x 2 x 3 x 3 x 17 x 101 x 107

Step 4: Therefore, the least common multiple of 7272 and 7276 is 13227768.