Least Common Multiple of 6265 and 6272

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 6265 and 6272 the smallest integer that is 5613440 that is divisible by both numbers.

Least Common Multiple (LCM) of 6265 and 6272 is 5613440.

LCM(6265,6272) = 5613440

LCM of 6265 and 6272

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

LCM of:
and

Least Common Multiple of 6265 and 6272

LCM of 6265 and 6272 is 5613440

Least common multiple can be found by multiplying the highest exponent prime factors of 6265 and 6272. First we will calculate the prime factors of 6265 and 6272.

Prime Factorization of 6265


5 6265
7 1253
179 179
1

Prime factors of 6265 are 5, 7,179. Prime factorization of 6265 in exponential form is:

6265 = 51×71×1791

Prime Factorization of 6272


2 6272
2 3136
2 1568
2 784
2 392
2 196
2 98
7 49
7 7
1

Prime factors of 6272 are 2,7. Prime factorization of 6272 in exponential form is:

6272 = 27×72

Now multiplying the highest exponent prime factors to calculate the LCM of 6265 and 6272.

LCM(6265,6272) = 27×51×72×1791
LCM(6265,6272) = 5613440

Factors of 6265

List of positive integer factors of 6265 that divides 6265 without a remainder.

1, 5, 7, 35, 179, 895, 1253, 6265

Factors of 6272

List of positive integer factors of 6272 that divides 6272 without a remainder.

1, 2, 4, 7, 8, 14, 16, 28, 32, 49, 56, 64, 98, 112, 128, 196, 224, 392, 448, 784, 896, 1568, 3136, 6272

Least Common Multiple of 6265 and 6272 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 6265 and 6272, than apply into the LCM equation.

GCF(6265,6272) = 7
LCM(6265,6272) = ( 6265 × 6272) / 7
LCM(6265,6272) = 39294080 / 7
LCM(6265,6272) = 5613440

Properties of LCM 6265 and 6272

(i) The LCM of 6272 and 6265 is associative

LCM of 6265 and 6272 = LCM of 6272 and 6265

Related Least Common Multiples of 6265

Related Least Common Multiples of 6272

Frequently Asked Questions on LCM of 6265 and 6272

1. What is the LCM of 6265 and 6272?

Answer: LCM of 6265 and 6272 is 5613440.

2. What are the Factors of 6265?

Answer: Factors of 6265 are 1, 5, 7, 35, 179, 895, 1253, 6265. There are 8 integers that are factors of 6265. The greatest factor of 6265 is 6265.

3. What are the Factors of 6272?

Answer: Factors of 6272 are 1, 2, 4, 7, 8, 14, 16, 28, 32, 49, 56, 64, 98, 112, 128, 196, 224, 392, 448, 784, 896, 1568, 3136, 6272. There are 24 integers that are factors of 6272. The greatest factor of 6272 is 6272.

4. How to Find the LCM of 6265 and 6272?

Answer:

Least Common Multiple of 6265 and 6272 = 5613440

Step 1: Find the prime factorization of 6265

6265 = 5 x 7 x 179

Step 2: Find the prime factorization of 6272

6272 = 2 x 2 x 2 x 2 x 2 x 2 x 2 x 7 x 7

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

LCM = 5613440 = 2 x 2 x 2 x 2 x 2 x 2 x 2 x 5 x 7 x 7 x 179

Step 4: Therefore, the least common multiple of 6265 and 6272 is 5613440.