Least Common Multiple of 1684 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 1684 and 1692 the smallest integer that is 712332 that is divisible by both numbers.

Least Common Multiple (LCM) of 1684 and 1692 is 712332.

LCM(1684,1692) = 712332

LCM of 1684 and 1692

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

LCM of:
and

Least Common Multiple of 1684 and 1692

LCM of 1684 and 1692 is 712332

Least common multiple can be found by multiplying the highest exponent prime factors of 1684 and 1692. First we will calculate the prime factors of 1684 and 1692.

Prime Factorization of 1684


2 1684
2 842
421 421
1

Prime factors of 1684 are 2,421. Prime factorization of 1684 in exponential form is:

1684 = 22×4211

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 1684 and 1692.

LCM(1684,1692) = 22×32×471×4211
LCM(1684,1692) = 712332

Factors of 1684

List of positive integer factors of 1684 that divides 1684 without a remainder.

1, 2, 4, 421, 842, 1684

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 1684 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 1684 and 1692, than apply into the LCM equation.

GCF(1684,1692) = 4
LCM(1684,1692) = ( 1684 × 1692) / 4
LCM(1684,1692) = 2849328 / 4
LCM(1684,1692) = 712332

Properties of LCM 1684 and 1692

(i) The LCM of 1692 and 1684 is associative

LCM of 1684 and 1692 = LCM of 1692 and 1684

Related Least Common Multiples of 1684

Related Least Common Multiples of 1692

Frequently Asked Questions on LCM of 1684 and 1692

1. What is the LCM of 1684 and 1692?

Answer: LCM of 1684 and 1692 is 712332.

2. What are the Factors of 1684?

Answer: Factors of 1684 are 1, 2, 4, 421, 842, 1684. There are 6 integers that are factors of 1684. The greatest factor of 1684 is 1684.

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 1684 and 1692?

Answer:

Least Common Multiple of 1684 and 1692 = 712332

Step 1: Find the prime factorization of 1684

1684 = 2 x 2 x 421

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 = 712332 = 2 x 2 x 3 x 3 x 47 x 421

Step 4: Therefore, the least common multiple of 1684 and 1692 is 712332.