Least Common Multiple of 1688 and 1693

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 1693 the smallest integer that is 2857784 that is divisible by both numbers.

Least Common Multiple (LCM) of 1688 and 1693 is 2857784.

LCM(1688,1693) = 2857784

LCM of 1688 and 1693

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

LCM of:
and

Least Common Multiple of 1688 and 1693

LCM of 1688 and 1693 is 2857784

Least common multiple can be found by multiplying the highest exponent prime factors of 1688 and 1693. First we will calculate the prime factors of 1688 and 1693.

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 1693


1693 1693
1

Prime factors of 1693 are 1693. Prime factorization of 1693 in exponential form is:

1693 = 16931

Now multiplying the highest exponent prime factors to calculate the LCM of 1688 and 1693.

LCM(1688,1693) = 23×2111×16931
LCM(1688,1693) = 2857784

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 1693

List of positive integer factors of 1693 that divides 1693 without a remainder.

1, 1693

Least Common Multiple of 1688 and 1693 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 1693, than apply into the LCM equation.

GCF(1688,1693) = 1
LCM(1688,1693) = ( 1688 × 1693) / 1
LCM(1688,1693) = 2857784 / 1
LCM(1688,1693) = 2857784

Properties of LCM 1688 and 1693

(i) The LCM of 1693 and 1688 is associative

LCM of 1688 and 1693 = LCM of 1693 and 1688

Related Least Common Multiples of 1688

Related Least Common Multiples of 1693

Frequently Asked Questions on LCM of 1688 and 1693

1. What is the LCM of 1688 and 1693?

Answer: LCM of 1688 and 1693 is 2857784.

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 1693?

Answer: Factors of 1693 are 1, 1693. There are 2 integers that are factors of 1693. The greatest factor of 1693 is 1693.

4. How to Find the LCM of 1688 and 1693?

Answer:

Least Common Multiple of 1688 and 1693 = 2857784

Step 1: Find the prime factorization of 1688

1688 = 2 x 2 x 2 x 211

Step 2: Find the prime factorization of 1693

1693 = 1693

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

LCM = 2857784 = 2 x 2 x 2 x 211 x 1693

Step 4: Therefore, the least common multiple of 1688 and 1693 is 2857784.