Least Common Multiple of 7266 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 7266 and 7272 the smallest integer that is 8806392 that is divisible by both numbers.

Least Common Multiple (LCM) of 7266 and 7272 is 8806392.

LCM(7266,7272) = 8806392

LCM of 7266 and 7272

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

LCM of:
and

Least Common Multiple of 7266 and 7272

LCM of 7266 and 7272 is 8806392

Least common multiple can be found by multiplying the highest exponent prime factors of 7266 and 7272. First we will calculate the prime factors of 7266 and 7272.

Prime Factorization of 7266


2 7266
3 3633
7 1211
173 173
1

Prime factors of 7266 are 2, 3, 7,173. Prime factorization of 7266 in exponential form is:

7266 = 21×31×71×1731

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 7266 and 7272.

LCM(7266,7272) = 23×32×71×1011×1731
LCM(7266,7272) = 8806392

Factors of 7266

List of positive integer factors of 7266 that divides 7266 without a remainder.

1, 2, 3, 6, 7, 14, 21, 42, 173, 346, 519, 1038, 1211, 2422, 3633, 7266

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 7266 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 7266 and 7272, than apply into the LCM equation.

GCF(7266,7272) = 6
LCM(7266,7272) = ( 7266 × 7272) / 6
LCM(7266,7272) = 52838352 / 6
LCM(7266,7272) = 8806392

Properties of LCM 7266 and 7272

(i) The LCM of 7272 and 7266 is associative

LCM of 7266 and 7272 = LCM of 7272 and 7266

Related Least Common Multiples of 7266

Related Least Common Multiples of 7272

Frequently Asked Questions on LCM of 7266 and 7272

1. What is the LCM of 7266 and 7272?

Answer: LCM of 7266 and 7272 is 8806392.

2. What are the Factors of 7266?

Answer: Factors of 7266 are 1, 2, 3, 6, 7, 14, 21, 42, 173, 346, 519, 1038, 1211, 2422, 3633, 7266. There are 16 integers that are factors of 7266. The greatest factor of 7266 is 7266.

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 7266 and 7272?

Answer:

Least Common Multiple of 7266 and 7272 = 8806392

Step 1: Find the prime factorization of 7266

7266 = 2 x 3 x 7 x 173

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 = 8806392 = 2 x 2 x 2 x 3 x 3 x 7 x 101 x 173

Step 4: Therefore, the least common multiple of 7266 and 7272 is 8806392.