Least Common Multiple of 7267 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 7267 and 7272 the smallest integer that is 52845624 that is divisible by both numbers.

Least Common Multiple (LCM) of 7267 and 7272 is 52845624.

LCM(7267,7272) = 52845624

LCM of 7267 and 7272

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

LCM of:
and

Least Common Multiple of 7267 and 7272

LCM of 7267 and 7272 is 52845624

Least common multiple can be found by multiplying the highest exponent prime factors of 7267 and 7272. First we will calculate the prime factors of 7267 and 7272.

Prime Factorization of 7267


13 7267
13 559
43 43
1

Prime factors of 7267 are 13,43. Prime factorization of 7267 in exponential form is:

7267 = 132×431

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 7267 and 7272.

LCM(7267,7272) = 23×32×132×431×1011
LCM(7267,7272) = 52845624

Factors of 7267

List of positive integer factors of 7267 that divides 7267 without a remainder.

1, 13, 43, 169, 559, 7267

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 7267 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 7267 and 7272, than apply into the LCM equation.

GCF(7267,7272) = 1
LCM(7267,7272) = ( 7267 × 7272) / 1
LCM(7267,7272) = 52845624 / 1
LCM(7267,7272) = 52845624

Properties of LCM 7267 and 7272

(i) The LCM of 7272 and 7267 is associative

LCM of 7267 and 7272 = LCM of 7272 and 7267

Related Least Common Multiples of 7267

Related Least Common Multiples of 7272

Frequently Asked Questions on LCM of 7267 and 7272

1. What is the LCM of 7267 and 7272?

Answer: LCM of 7267 and 7272 is 52845624.

2. What are the Factors of 7267?

Answer: Factors of 7267 are 1, 13, 43, 169, 559, 7267. There are 6 integers that are factors of 7267. The greatest factor of 7267 is 7267.

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 7267 and 7272?

Answer:

Least Common Multiple of 7267 and 7272 = 52845624

Step 1: Find the prime factorization of 7267

7267 = 13 x 13 x 43

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 = 52845624 = 2 x 2 x 2 x 3 x 3 x 13 x 13 x 43 x 101

Step 4: Therefore, the least common multiple of 7267 and 7272 is 52845624.