Least Common Multiple of 6277 and 6283

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 6277 and 6283 the smallest integer that is 39438391 that is divisible by both numbers.

Least Common Multiple (LCM) of 6277 and 6283 is 39438391.

LCM(6277,6283) = 39438391

LCM of 6277 and 6283

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

LCM of:
and

Least Common Multiple of 6277 and 6283

LCM of 6277 and 6283 is 39438391

Least common multiple can be found by multiplying the highest exponent prime factors of 6277 and 6283. First we will calculate the prime factors of 6277 and 6283.

Prime Factorization of 6277


6277 6277
1

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

6277 = 62771

Prime Factorization of 6283


61 6283
103 103
1

Prime factors of 6283 are 61,103. Prime factorization of 6283 in exponential form is:

6283 = 611×1031

Now multiplying the highest exponent prime factors to calculate the LCM of 6277 and 6283.

LCM(6277,6283) = 611×1031×62771
LCM(6277,6283) = 39438391

Factors of 6277

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

1, 6277

Factors of 6283

List of positive integer factors of 6283 that divides 6283 without a remainder.

1, 61, 103, 6283

Least Common Multiple of 6277 and 6283 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 6277 and 6283, than apply into the LCM equation.

GCF(6277,6283) = 1
LCM(6277,6283) = ( 6277 × 6283) / 1
LCM(6277,6283) = 39438391 / 1
LCM(6277,6283) = 39438391

Properties of LCM 6277 and 6283

(i) The LCM of 6283 and 6277 is associative

LCM of 6277 and 6283 = LCM of 6283 and 6277

Related Least Common Multiples of 6277

Related Least Common Multiples of 6283

Frequently Asked Questions on LCM of 6277 and 6283

1. What is the LCM of 6277 and 6283?

Answer: LCM of 6277 and 6283 is 39438391.

2. 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.

3. What are the Factors of 6283?

Answer: Factors of 6283 are 1, 61, 103, 6283. There are 4 integers that are factors of 6283. The greatest factor of 6283 is 6283.

4. How to Find the LCM of 6277 and 6283?

Answer:

Least Common Multiple of 6277 and 6283 = 39438391

Step 1: Find the prime factorization of 6277

6277 = 6277

Step 2: Find the prime factorization of 6283

6283 = 61 x 103

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

LCM = 39438391 = 61 x 103 x 6277

Step 4: Therefore, the least common multiple of 6277 and 6283 is 39438391.