Least Common Multiple of 690 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 690 and 695 the smallest integer that is 95910 that is divisible by both numbers.

Least Common Multiple (LCM) of 690 and 695 is 95910.

LCM(690,695) = 95910

LCM of 690 and 695

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

LCM of:
and

Least Common Multiple of 690 and 695

LCM of 690 and 695 is 95910

Least common multiple can be found by multiplying the highest exponent prime factors of 690 and 695. First we will calculate the prime factors of 690 and 695.

Prime Factorization of 690


2 690
3 345
5 115
23 23
1

Prime factors of 690 are 2, 3, 5,23. Prime factorization of 690 in exponential form is:

690 = 21×31×51×231

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 690 and 695.

LCM(690,695) = 21×31×51×231×1391
LCM(690,695) = 95910

Factors of 690

List of positive integer factors of 690 that divides 690 without a remainder.

1, 2, 3, 5, 6, 10, 15, 23, 30, 46, 69, 115, 138, 230, 345, 690

Factors of 695

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

1, 5, 139, 695

Least Common Multiple of 690 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 690 and 695, than apply into the LCM equation.

GCF(690,695) = 5
LCM(690,695) = ( 690 × 695) / 5
LCM(690,695) = 479550 / 5
LCM(690,695) = 95910

Properties of LCM 690 and 695

(i) The LCM of 695 and 690 is associative

LCM of 690 and 695 = LCM of 695 and 690

Related Least Common Multiples of 690

Related Least Common Multiples of 695

Frequently Asked Questions on LCM of 690 and 695

1. What is the LCM of 690 and 695?

Answer: LCM of 690 and 695 is 95910.

2. What are the Factors of 690?

Answer: Factors of 690 are 1, 2, 3, 5, 6, 10, 15, 23, 30, 46, 69, 115, 138, 230, 345, 690. There are 16 integers that are factors of 690. The greatest factor of 690 is 690.

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 690 and 695?

Answer:

Least Common Multiple of 690 and 695 = 95910

Step 1: Find the prime factorization of 690

690 = 2 x 3 x 5 x 23

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 = 95910 = 2 x 3 x 5 x 23 x 139

Step 4: Therefore, the least common multiple of 690 and 695 is 95910.