Least Common Multiple of 1688 and 1695

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 1688 and 1695 the smallest integer that is 2861160 that is divisible by both numbers.

Least Common Multiple (LCM) of 1688 and 1695 is 2861160.

LCM(1688,1695) = 2861160

LCM of 1688 and 1695

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

LCM of:
and

Least Common Multiple of 1688 and 1695

LCM of 1688 and 1695 is 2861160

Least common multiple can be found by multiplying the highest exponent prime factors of 1688 and 1695. First we will calculate the prime factors of 1688 and 1695.

Prime Factorization of 1688


2 1688
2 844
2 422
211 211
1

Prime factors of 1688 are 2,211. Prime factorization of 1688 in exponential form is:

1688 = 23×2111

Prime Factorization of 1695


3 1695
5 565
113 113
1

Prime factors of 1695 are 3, 5,113. Prime factorization of 1695 in exponential form is:

1695 = 31×51×1131

Now multiplying the highest exponent prime factors to calculate the LCM of 1688 and 1695.

LCM(1688,1695) = 23×31×51×1131×2111
LCM(1688,1695) = 2861160

Factors of 1688

List of positive integer factors of 1688 that divides 1688 without a remainder.

1, 2, 4, 8, 211, 422, 844, 1688

Factors of 1695

List of positive integer factors of 1695 that divides 1695 without a remainder.

1, 3, 5, 15, 113, 339, 565, 1695

Least Common Multiple of 1688 and 1695 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 1688 and 1695, than apply into the LCM equation.

GCF(1688,1695) = 1
LCM(1688,1695) = ( 1688 × 1695) / 1
LCM(1688,1695) = 2861160 / 1
LCM(1688,1695) = 2861160

Properties of LCM 1688 and 1695

(i) The LCM of 1695 and 1688 is associative

LCM of 1688 and 1695 = LCM of 1695 and 1688

Related Least Common Multiples of 1688

Related Least Common Multiples of 1695

Frequently Asked Questions on LCM of 1688 and 1695

1. What is the LCM of 1688 and 1695?

Answer: LCM of 1688 and 1695 is 2861160.

2. What are the Factors of 1688?

Answer: Factors of 1688 are 1, 2, 4, 8, 211, 422, 844, 1688. There are 8 integers that are factors of 1688. The greatest factor of 1688 is 1688.

3. What are the Factors of 1695?

Answer: Factors of 1695 are 1, 3, 5, 15, 113, 339, 565, 1695. There are 8 integers that are factors of 1695. The greatest factor of 1695 is 1695.

4. How to Find the LCM of 1688 and 1695?

Answer:

Least Common Multiple of 1688 and 1695 = 2861160

Step 1: Find the prime factorization of 1688

1688 = 2 x 2 x 2 x 211

Step 2: Find the prime factorization of 1695

1695 = 3 x 5 x 113

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

LCM = 2861160 = 2 x 2 x 2 x 3 x 5 x 113 x 211

Step 4: Therefore, the least common multiple of 1688 and 1695 is 2861160.