Least Common Multiple of 689 and 695

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 689 and 695 the smallest integer that is 478855 that is divisible by both numbers.

Least Common Multiple (LCM) of 689 and 695 is 478855.

LCM(689,695) = 478855

LCM of 689 and 695

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

LCM of:
and

Least Common Multiple of 689 and 695

LCM of 689 and 695 is 478855

Least common multiple can be found by multiplying the highest exponent prime factors of 689 and 695. First we will calculate the prime factors of 689 and 695.

Prime Factorization of 689


13 689
53 53
1

Prime factors of 689 are 13,53. Prime factorization of 689 in exponential form is:

689 = 131×531

Prime Factorization of 695


5 695
139 139
1

Prime factors of 695 are 5,139. Prime factorization of 695 in exponential form is:

695 = 51×1391

Now multiplying the highest exponent prime factors to calculate the LCM of 689 and 695.

LCM(689,695) = 51×131×531×1391
LCM(689,695) = 478855

Factors of 689

List of positive integer factors of 689 that divides 689 without a remainder.

1, 13, 53, 689

Factors of 695

List of positive integer factors of 695 that divides 695 without a remainder.

1, 5, 139, 695

Least Common Multiple of 689 and 695 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 689 and 695, than apply into the LCM equation.

GCF(689,695) = 1
LCM(689,695) = ( 689 × 695) / 1
LCM(689,695) = 478855 / 1
LCM(689,695) = 478855

Properties of LCM 689 and 695

(i) The LCM of 695 and 689 is associative

LCM of 689 and 695 = LCM of 695 and 689

Related Least Common Multiples of 689

Related Least Common Multiples of 695

Frequently Asked Questions on LCM of 689 and 695

1. What is the LCM of 689 and 695?

Answer: LCM of 689 and 695 is 478855.

2. What are the Factors of 689?

Answer: Factors of 689 are 1, 13, 53, 689. There are 4 integers that are factors of 689. The greatest factor of 689 is 689.

3. What are the Factors of 695?

Answer: Factors of 695 are 1, 5, 139, 695. There are 4 integers that are factors of 695. The greatest factor of 695 is 695.

4. How to Find the LCM of 689 and 695?

Answer:

Least Common Multiple of 689 and 695 = 478855

Step 1: Find the prime factorization of 689

689 = 13 x 53

Step 2: Find the prime factorization of 695

695 = 5 x 139

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

LCM = 478855 = 5 x 13 x 53 x 139

Step 4: Therefore, the least common multiple of 689 and 695 is 478855.