Least Common Multiple of 690 and 692

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 692 the smallest integer that is 238740 that is divisible by both numbers.

Least Common Multiple (LCM) of 690 and 692 is 238740.

LCM(690,692) = 238740

LCM of 690 and 692

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

LCM of:
and

Least Common Multiple of 690 and 692

LCM of 690 and 692 is 238740

Least common multiple can be found by multiplying the highest exponent prime factors of 690 and 692. First we will calculate the prime factors of 690 and 692.

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 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

Now multiplying the highest exponent prime factors to calculate the LCM of 690 and 692.

LCM(690,692) = 22×31×51×231×1731
LCM(690,692) = 238740

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 692

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

1, 2, 4, 173, 346, 692

Least Common Multiple of 690 and 692 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 692, than apply into the LCM equation.

GCF(690,692) = 2
LCM(690,692) = ( 690 × 692) / 2
LCM(690,692) = 477480 / 2
LCM(690,692) = 238740

Properties of LCM 690 and 692

(i) The LCM of 692 and 690 is associative

LCM of 690 and 692 = LCM of 692 and 690

Related Least Common Multiples of 690

Related Least Common Multiples of 692

Frequently Asked Questions on LCM of 690 and 692

1. What is the LCM of 690 and 692?

Answer: LCM of 690 and 692 is 238740.

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 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.

4. How to Find the LCM of 690 and 692?

Answer:

Least Common Multiple of 690 and 692 = 238740

Step 1: Find the prime factorization of 690

690 = 2 x 3 x 5 x 23

Step 2: Find the prime factorization of 692

692 = 2 x 2 x 173

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

LCM = 238740 = 2 x 2 x 3 x 5 x 23 x 173

Step 4: Therefore, the least common multiple of 690 and 692 is 238740.