Least Common Multiple of 3425 and 3431

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 3425 and 3431 the smallest integer that is 11751175 that is divisible by both numbers.

Least Common Multiple (LCM) of 3425 and 3431 is 11751175.

LCM(3425,3431) = 11751175

LCM of 3425 and 3431

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

LCM of:
and

Least Common Multiple of 3425 and 3431

LCM of 3425 and 3431 is 11751175

Least common multiple can be found by multiplying the highest exponent prime factors of 3425 and 3431. First we will calculate the prime factors of 3425 and 3431.

Prime Factorization of 3425


5 3425
5 685
137 137
1

Prime factors of 3425 are 5,137. Prime factorization of 3425 in exponential form is:

3425 = 52×1371

Prime Factorization of 3431


47 3431
73 73
1

Prime factors of 3431 are 47,73. Prime factorization of 3431 in exponential form is:

3431 = 471×731

Now multiplying the highest exponent prime factors to calculate the LCM of 3425 and 3431.

LCM(3425,3431) = 52×471×731×1371
LCM(3425,3431) = 11751175

Factors of 3425

List of positive integer factors of 3425 that divides 3425 without a remainder.

1, 5, 25, 137, 685, 3425

Factors of 3431

List of positive integer factors of 3431 that divides 3431 without a remainder.

1, 47, 73, 3431

Least Common Multiple of 3425 and 3431 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 3425 and 3431, than apply into the LCM equation.

GCF(3425,3431) = 1
LCM(3425,3431) = ( 3425 × 3431) / 1
LCM(3425,3431) = 11751175 / 1
LCM(3425,3431) = 11751175

Properties of LCM 3425 and 3431

(i) The LCM of 3431 and 3425 is associative

LCM of 3425 and 3431 = LCM of 3431 and 3425

Related Least Common Multiples of 3425

Related Least Common Multiples of 3431

Frequently Asked Questions on LCM of 3425 and 3431

1. What is the LCM of 3425 and 3431?

Answer: LCM of 3425 and 3431 is 11751175.

2. What are the Factors of 3425?

Answer: Factors of 3425 are 1, 5, 25, 137, 685, 3425. There are 6 integers that are factors of 3425. The greatest factor of 3425 is 3425.

3. What are the Factors of 3431?

Answer: Factors of 3431 are 1, 47, 73, 3431. There are 4 integers that are factors of 3431. The greatest factor of 3431 is 3431.

4. How to Find the LCM of 3425 and 3431?

Answer:

Least Common Multiple of 3425 and 3431 = 11751175

Step 1: Find the prime factorization of 3425

3425 = 5 x 5 x 137

Step 2: Find the prime factorization of 3431

3431 = 47 x 73

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

LCM = 11751175 = 5 x 5 x 47 x 73 x 137

Step 4: Therefore, the least common multiple of 3425 and 3431 is 11751175.