Least Common Multiple of 692 and 693

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 693 the smallest integer that is 479556 that is divisible by both numbers.

Least Common Multiple (LCM) of 692 and 693 is 479556.

LCM(692,693) = 479556

LCM of 692 and 693

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

LCM of:
and

Least Common Multiple of 692 and 693

LCM of 692 and 693 is 479556

Least common multiple can be found by multiplying the highest exponent prime factors of 692 and 693. First we will calculate the prime factors of 692 and 693.

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 693


3 693
3 231
7 77
11 11
1

Prime factors of 693 are 3, 7,11. Prime factorization of 693 in exponential form is:

693 = 32×71×111

Now multiplying the highest exponent prime factors to calculate the LCM of 692 and 693.

LCM(692,693) = 22×32×71×111×1731
LCM(692,693) = 479556

Factors of 692

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

1, 2, 4, 173, 346, 692

Factors of 693

List of positive integer factors of 693 that divides 693 without a remainder.

1, 3, 7, 9, 11, 21, 33, 63, 77, 99, 231, 693

Least Common Multiple of 692 and 693 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 693, than apply into the LCM equation.

GCF(692,693) = 1
LCM(692,693) = ( 692 × 693) / 1
LCM(692,693) = 479556 / 1
LCM(692,693) = 479556

Properties of LCM 692 and 693

(i) The LCM of 693 and 692 is associative

LCM of 692 and 693 = LCM of 693 and 692

Related Least Common Multiples of 692

Related Least Common Multiples of 693

Frequently Asked Questions on LCM of 692 and 693

1. What is the LCM of 692 and 693?

Answer: LCM of 692 and 693 is 479556.

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 693?

Answer: Factors of 693 are 1, 3, 7, 9, 11, 21, 33, 63, 77, 99, 231, 693. There are 12 integers that are factors of 693. The greatest factor of 693 is 693.

4. How to Find the LCM of 692 and 693?

Answer:

Least Common Multiple of 692 and 693 = 479556

Step 1: Find the prime factorization of 692

692 = 2 x 2 x 173

Step 2: Find the prime factorization of 693

693 = 3 x 3 x 7 x 11

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

LCM = 479556 = 2 x 2 x 3 x 3 x 7 x 11 x 173

Step 4: Therefore, the least common multiple of 692 and 693 is 479556.