Least Common Multiple of 692 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 692 and 695 the smallest integer that is 480940 that is divisible by both numbers.

Least Common Multiple (LCM) of 692 and 695 is 480940.

LCM(692,695) = 480940

LCM of 692 and 695

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

LCM of:
and

Least Common Multiple of 692 and 695

LCM of 692 and 695 is 480940

Least common multiple can be found by multiplying the highest exponent prime factors of 692 and 695. First we will calculate the prime factors of 692 and 695.

Prime Factorization of 692


2 692
2 346
173 173
1

Prime factors of 692 are 2,173. Prime factorization of 692 in exponential form is:

692 = 22×1731

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 692 and 695.

LCM(692,695) = 22×51×1391×1731
LCM(692,695) = 480940

Factors of 692

List of positive integer factors of 692 that divides 692 without a remainder.

1, 2, 4, 173, 346, 692

Factors of 695

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

1, 5, 139, 695

Least Common Multiple of 692 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 692 and 695, than apply into the LCM equation.

GCF(692,695) = 1
LCM(692,695) = ( 692 × 695) / 1
LCM(692,695) = 480940 / 1
LCM(692,695) = 480940

Properties of LCM 692 and 695

(i) The LCM of 695 and 692 is associative

LCM of 692 and 695 = LCM of 695 and 692

Related Least Common Multiples of 692

Related Least Common Multiples of 695

Frequently Asked Questions on LCM of 692 and 695

1. What is the LCM of 692 and 695?

Answer: LCM of 692 and 695 is 480940.

2. What are the Factors of 692?

Answer: Factors of 692 are 1, 2, 4, 173, 346, 692. There are 6 integers that are factors of 692. The greatest factor of 692 is 692.

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 692 and 695?

Answer:

Least Common Multiple of 692 and 695 = 480940

Step 1: Find the prime factorization of 692

692 = 2 x 2 x 173

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 = 480940 = 2 x 2 x 5 x 139 x 173

Step 4: Therefore, the least common multiple of 692 and 695 is 480940.