Least Common Multiple of 688 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 688 and 693 the smallest integer that is 476784 that is divisible by both numbers.

Least Common Multiple (LCM) of 688 and 693 is 476784.

LCM(688,693) = 476784

LCM of 688 and 693

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

LCM of:
and

Least Common Multiple of 688 and 693

LCM of 688 and 693 is 476784

Least common multiple can be found by multiplying the highest exponent prime factors of 688 and 693. First we will calculate the prime factors of 688 and 693.

Prime Factorization of 688


2 688
2 344
2 172
2 86
43 43
1

Prime factors of 688 are 2,43. Prime factorization of 688 in exponential form is:

688 = 24×431

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 688 and 693.

LCM(688,693) = 24×32×71×111×431
LCM(688,693) = 476784

Factors of 688

List of positive integer factors of 688 that divides 688 without a remainder.

1, 2, 4, 8, 16, 43, 86, 172, 344, 688

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 688 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 688 and 693, than apply into the LCM equation.

GCF(688,693) = 1
LCM(688,693) = ( 688 × 693) / 1
LCM(688,693) = 476784 / 1
LCM(688,693) = 476784

Properties of LCM 688 and 693

(i) The LCM of 693 and 688 is associative

LCM of 688 and 693 = LCM of 693 and 688

Related Least Common Multiples of 688

Related Least Common Multiples of 693

Frequently Asked Questions on LCM of 688 and 693

1. What is the LCM of 688 and 693?

Answer: LCM of 688 and 693 is 476784.

2. What are the Factors of 688?

Answer: Factors of 688 are 1, 2, 4, 8, 16, 43, 86, 172, 344, 688. There are 10 integers that are factors of 688. The greatest factor of 688 is 688.

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 688 and 693?

Answer:

Least Common Multiple of 688 and 693 = 476784

Step 1: Find the prime factorization of 688

688 = 2 x 2 x 2 x 2 x 43

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 = 476784 = 2 x 2 x 2 x 2 x 3 x 3 x 7 x 11 x 43

Step 4: Therefore, the least common multiple of 688 and 693 is 476784.