Least Common Multiple of 1692 and 1699

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 1692 and 1699 the smallest integer that is 2874708 that is divisible by both numbers.

Least Common Multiple (LCM) of 1692 and 1699 is 2874708.

LCM(1692,1699) = 2874708

LCM of 1692 and 1699

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

LCM of:
and

Least Common Multiple of 1692 and 1699

LCM of 1692 and 1699 is 2874708

Least common multiple can be found by multiplying the highest exponent prime factors of 1692 and 1699. First we will calculate the prime factors of 1692 and 1699.

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

Prime Factorization of 1699


1699 1699
1

Prime factors of 1699 are 1699. Prime factorization of 1699 in exponential form is:

1699 = 16991

Now multiplying the highest exponent prime factors to calculate the LCM of 1692 and 1699.

LCM(1692,1699) = 22×32×471×16991
LCM(1692,1699) = 2874708

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

Factors of 1699

List of positive integer factors of 1699 that divides 1699 without a remainder.

1, 1699

Least Common Multiple of 1692 and 1699 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 1692 and 1699, than apply into the LCM equation.

GCF(1692,1699) = 1
LCM(1692,1699) = ( 1692 × 1699) / 1
LCM(1692,1699) = 2874708 / 1
LCM(1692,1699) = 2874708

Properties of LCM 1692 and 1699

(i) The LCM of 1699 and 1692 is associative

LCM of 1692 and 1699 = LCM of 1699 and 1692

Related Least Common Multiples of 1692

Related Least Common Multiples of 1699

Frequently Asked Questions on LCM of 1692 and 1699

1. What is the LCM of 1692 and 1699?

Answer: LCM of 1692 and 1699 is 2874708.

2. 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.

3. What are the Factors of 1699?

Answer: Factors of 1699 are 1, 1699. There are 2 integers that are factors of 1699. The greatest factor of 1699 is 1699.

4. How to Find the LCM of 1692 and 1699?

Answer:

Least Common Multiple of 1692 and 1699 = 2874708

Step 1: Find the prime factorization of 1692

1692 = 2 x 2 x 3 x 3 x 47

Step 2: Find the prime factorization of 1699

1699 = 1699

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

LCM = 2874708 = 2 x 2 x 3 x 3 x 47 x 1699

Step 4: Therefore, the least common multiple of 1692 and 1699 is 2874708.