Least Common Multiple of 7631 and 7634

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 7631 and 7634 the smallest integer that is 58255054 that is divisible by both numbers.

Least Common Multiple (LCM) of 7631 and 7634 is 58255054.

LCM(7631,7634) = 58255054

LCM of 7631 and 7634

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

LCM of:
and

Least Common Multiple of 7631 and 7634

LCM of 7631 and 7634 is 58255054

Least common multiple can be found by multiplying the highest exponent prime factors of 7631 and 7634. First we will calculate the prime factors of 7631 and 7634.

Prime Factorization of 7631


13 7631
587 587
1

Prime factors of 7631 are 13,587. Prime factorization of 7631 in exponential form is:

7631 = 131×5871

Prime Factorization of 7634


2 7634
11 3817
347 347
1

Prime factors of 7634 are 2, 11,347. Prime factorization of 7634 in exponential form is:

7634 = 21×111×3471

Now multiplying the highest exponent prime factors to calculate the LCM of 7631 and 7634.

LCM(7631,7634) = 21×111×131×3471×5871
LCM(7631,7634) = 58255054

Factors of 7631

List of positive integer factors of 7631 that divides 7631 without a remainder.

1, 13, 587, 7631

Factors of 7634

List of positive integer factors of 7634 that divides 7634 without a remainder.

1, 2, 11, 22, 347, 694, 3817, 7634

Least Common Multiple of 7631 and 7634 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 7631 and 7634, than apply into the LCM equation.

GCF(7631,7634) = 1
LCM(7631,7634) = ( 7631 × 7634) / 1
LCM(7631,7634) = 58255054 / 1
LCM(7631,7634) = 58255054

Properties of LCM 7631 and 7634

(i) The LCM of 7634 and 7631 is associative

LCM of 7631 and 7634 = LCM of 7634 and 7631

Related Least Common Multiples of 7631

Related Least Common Multiples of 7634

Frequently Asked Questions on LCM of 7631 and 7634

1. What is the LCM of 7631 and 7634?

Answer: LCM of 7631 and 7634 is 58255054.

2. What are the Factors of 7631?

Answer: Factors of 7631 are 1, 13, 587, 7631. There are 4 integers that are factors of 7631. The greatest factor of 7631 is 7631.

3. What are the Factors of 7634?

Answer: Factors of 7634 are 1, 2, 11, 22, 347, 694, 3817, 7634. There are 8 integers that are factors of 7634. The greatest factor of 7634 is 7634.

4. How to Find the LCM of 7631 and 7634?

Answer:

Least Common Multiple of 7631 and 7634 = 58255054

Step 1: Find the prime factorization of 7631

7631 = 13 x 587

Step 2: Find the prime factorization of 7634

7634 = 2 x 11 x 347

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

LCM = 58255054 = 2 x 11 x 13 x 347 x 587

Step 4: Therefore, the least common multiple of 7631 and 7634 is 58255054.