Least Common Multiple of 688 and 691

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 691 the smallest integer that is 475408 that is divisible by both numbers.

Least Common Multiple (LCM) of 688 and 691 is 475408.

LCM(688,691) = 475408

LCM of 688 and 691

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

LCM of:
and

Least Common Multiple of 688 and 691

LCM of 688 and 691 is 475408

Least common multiple can be found by multiplying the highest exponent prime factors of 688 and 691. First we will calculate the prime factors of 688 and 691.

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 691


691 691
1

Prime factors of 691 are 691. Prime factorization of 691 in exponential form is:

691 = 6911

Now multiplying the highest exponent prime factors to calculate the LCM of 688 and 691.

LCM(688,691) = 24×431×6911
LCM(688,691) = 475408

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 691

List of positive integer factors of 691 that divides 691 without a remainder.

1, 691

Least Common Multiple of 688 and 691 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 691, than apply into the LCM equation.

GCF(688,691) = 1
LCM(688,691) = ( 688 × 691) / 1
LCM(688,691) = 475408 / 1
LCM(688,691) = 475408

Properties of LCM 688 and 691

(i) The LCM of 691 and 688 is associative

LCM of 688 and 691 = LCM of 691 and 688

Related Least Common Multiples of 688

Related Least Common Multiples of 691

Frequently Asked Questions on LCM of 688 and 691

1. What is the LCM of 688 and 691?

Answer: LCM of 688 and 691 is 475408.

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 691?

Answer: Factors of 691 are 1, 691. There are 2 integers that are factors of 691. The greatest factor of 691 is 691.

4. How to Find the LCM of 688 and 691?

Answer:

Least Common Multiple of 688 and 691 = 475408

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 691

691 = 691

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

LCM = 475408 = 2 x 2 x 2 x 2 x 43 x 691

Step 4: Therefore, the least common multiple of 688 and 691 is 475408.