Least Common Multiple of 688 and 695

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 695 the smallest integer that is 478160 that is divisible by both numbers.

Least Common Multiple (LCM) of 688 and 695 is 478160.

LCM(688,695) = 478160

LCM of 688 and 695

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

LCM of:
and

Least Common Multiple of 688 and 695

LCM of 688 and 695 is 478160

Least common multiple can be found by multiplying the highest exponent prime factors of 688 and 695. First we will calculate the prime factors of 688 and 695.

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 695


5 695
139 139
1

Prime factors of 695 are 5,139. Prime factorization of 695 in exponential form is:

695 = 51×1391

Now multiplying the highest exponent prime factors to calculate the LCM of 688 and 695.

LCM(688,695) = 24×51×431×1391
LCM(688,695) = 478160

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 695

List of positive integer factors of 695 that divides 695 without a remainder.

1, 5, 139, 695

Least Common Multiple of 688 and 695 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 695, than apply into the LCM equation.

GCF(688,695) = 1
LCM(688,695) = ( 688 × 695) / 1
LCM(688,695) = 478160 / 1
LCM(688,695) = 478160

Properties of LCM 688 and 695

(i) The LCM of 695 and 688 is associative

LCM of 688 and 695 = LCM of 695 and 688

Related Least Common Multiples of 688

Related Least Common Multiples of 695

Frequently Asked Questions on LCM of 688 and 695

1. What is the LCM of 688 and 695?

Answer: LCM of 688 and 695 is 478160.

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 695?

Answer: Factors of 695 are 1, 5, 139, 695. There are 4 integers that are factors of 695. The greatest factor of 695 is 695.

4. How to Find the LCM of 688 and 695?

Answer:

Least Common Multiple of 688 and 695 = 478160

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 695

695 = 5 x 139

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

LCM = 478160 = 2 x 2 x 2 x 2 x 5 x 43 x 139

Step 4: Therefore, the least common multiple of 688 and 695 is 478160.