Least Common Multiple of 692 and 700

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 700 the smallest integer that is 121100 that is divisible by both numbers.

Least Common Multiple (LCM) of 692 and 700 is 121100.

LCM(692,700) = 121100

LCM of 692 and 700

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

LCM of:
and

Least Common Multiple of 692 and 700

LCM of 692 and 700 is 121100

Least common multiple can be found by multiplying the highest exponent prime factors of 692 and 700. First we will calculate the prime factors of 692 and 700.

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 700


2 700
2 350
5 175
5 35
7 7
1

Prime factors of 700 are 2, 5,7. Prime factorization of 700 in exponential form is:

700 = 22×52×71

Now multiplying the highest exponent prime factors to calculate the LCM of 692 and 700.

LCM(692,700) = 22×52×71×1731
LCM(692,700) = 121100

Factors of 692

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

1, 2, 4, 173, 346, 692

Factors of 700

List of positive integer factors of 700 that divides 700 without a remainder.

1, 2, 4, 5, 7, 10, 14, 20, 25, 28, 35, 50, 70, 100, 140, 175, 350, 700

Least Common Multiple of 692 and 700 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 700, than apply into the LCM equation.

GCF(692,700) = 4
LCM(692,700) = ( 692 × 700) / 4
LCM(692,700) = 484400 / 4
LCM(692,700) = 121100

Properties of LCM 692 and 700

(i) The LCM of 700 and 692 is associative

LCM of 692 and 700 = LCM of 700 and 692

Related Least Common Multiples of 692

Related Least Common Multiples of 700

Frequently Asked Questions on LCM of 692 and 700

1. What is the LCM of 692 and 700?

Answer: LCM of 692 and 700 is 121100.

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 700?

Answer: Factors of 700 are 1, 2, 4, 5, 7, 10, 14, 20, 25, 28, 35, 50, 70, 100, 140, 175, 350, 700. There are 18 integers that are factors of 700. The greatest factor of 700 is 700.

4. How to Find the LCM of 692 and 700?

Answer:

Least Common Multiple of 692 and 700 = 121100

Step 1: Find the prime factorization of 692

692 = 2 x 2 x 173

Step 2: Find the prime factorization of 700

700 = 2 x 2 x 5 x 5 x 7

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

LCM = 121100 = 2 x 2 x 5 x 5 x 7 x 173

Step 4: Therefore, the least common multiple of 692 and 700 is 121100.