Least Common Multiple of 6272 and 6277

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 6272 and 6277 the smallest integer that is 39369344 that is divisible by both numbers.

Least Common Multiple (LCM) of 6272 and 6277 is 39369344.

LCM(6272,6277) = 39369344

LCM of 6272 and 6277

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

LCM of:
and

Least Common Multiple of 6272 and 6277

LCM of 6272 and 6277 is 39369344

Least common multiple can be found by multiplying the highest exponent prime factors of 6272 and 6277. First we will calculate the prime factors of 6272 and 6277.

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

Prime Factorization of 6277


6277 6277
1

Prime factors of 6277 are 6277. Prime factorization of 6277 in exponential form is:

6277 = 62771

Now multiplying the highest exponent prime factors to calculate the LCM of 6272 and 6277.

LCM(6272,6277) = 27×72×62771
LCM(6272,6277) = 39369344

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

Factors of 6277

List of positive integer factors of 6277 that divides 6277 without a remainder.

1, 6277

Least Common Multiple of 6272 and 6277 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 6272 and 6277, than apply into the LCM equation.

GCF(6272,6277) = 1
LCM(6272,6277) = ( 6272 × 6277) / 1
LCM(6272,6277) = 39369344 / 1
LCM(6272,6277) = 39369344

Properties of LCM 6272 and 6277

(i) The LCM of 6277 and 6272 is associative

LCM of 6272 and 6277 = LCM of 6277 and 6272

Related Least Common Multiples of 6272

Related Least Common Multiples of 6277

Frequently Asked Questions on LCM of 6272 and 6277

1. What is the LCM of 6272 and 6277?

Answer: LCM of 6272 and 6277 is 39369344.

2. 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.

3. What are the Factors of 6277?

Answer: Factors of 6277 are 1, 6277. There are 2 integers that are factors of 6277. The greatest factor of 6277 is 6277.

4. How to Find the LCM of 6272 and 6277?

Answer:

Least Common Multiple of 6272 and 6277 = 39369344

Step 1: 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 2: Find the prime factorization of 6277

6277 = 6277

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

LCM = 39369344 = 2 x 2 x 2 x 2 x 2 x 2 x 2 x 7 x 7 x 6277

Step 4: Therefore, the least common multiple of 6272 and 6277 is 39369344.