Least Common Multiple of 1688 and 1692

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 1692 the smallest integer that is 714024 that is divisible by both numbers.

Least Common Multiple (LCM) of 1688 and 1692 is 714024.

LCM(1688,1692) = 714024

LCM of 1688 and 1692

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

LCM of:
and

Least Common Multiple of 1688 and 1692

LCM of 1688 and 1692 is 714024

Least common multiple can be found by multiplying the highest exponent prime factors of 1688 and 1692. First we will calculate the prime factors of 1688 and 1692.

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 1692


2 1692
2 846
3 423
3 141
47 47
1

Prime factors of 1692 are 2, 3,47. Prime factorization of 1692 in exponential form is:

1692 = 22×32×471

Now multiplying the highest exponent prime factors to calculate the LCM of 1688 and 1692.

LCM(1688,1692) = 23×32×471×2111
LCM(1688,1692) = 714024

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 1692

List of positive integer factors of 1692 that divides 1692 without a remainder.

1, 2, 3, 4, 6, 9, 12, 18, 36, 47, 94, 141, 188, 282, 423, 564, 846, 1692

Least Common Multiple of 1688 and 1692 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 1692, than apply into the LCM equation.

GCF(1688,1692) = 4
LCM(1688,1692) = ( 1688 × 1692) / 4
LCM(1688,1692) = 2856096 / 4
LCM(1688,1692) = 714024

Properties of LCM 1688 and 1692

(i) The LCM of 1692 and 1688 is associative

LCM of 1688 and 1692 = LCM of 1692 and 1688

Related Least Common Multiples of 1688

Related Least Common Multiples of 1692

Frequently Asked Questions on LCM of 1688 and 1692

1. What is the LCM of 1688 and 1692?

Answer: LCM of 1688 and 1692 is 714024.

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 1692?

Answer: Factors of 1692 are 1, 2, 3, 4, 6, 9, 12, 18, 36, 47, 94, 141, 188, 282, 423, 564, 846, 1692. There are 18 integers that are factors of 1692. The greatest factor of 1692 is 1692.

4. How to Find the LCM of 1688 and 1692?

Answer:

Least Common Multiple of 1688 and 1692 = 714024

Step 1: Find the prime factorization of 1688

1688 = 2 x 2 x 2 x 211

Step 2: Find the prime factorization of 1692

1692 = 2 x 2 x 3 x 3 x 47

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

LCM = 714024 = 2 x 2 x 2 x 3 x 3 x 47 x 211

Step 4: Therefore, the least common multiple of 1688 and 1692 is 714024.