Least Common Multiple of 1654 and 1659

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 1654 and 1659 the smallest integer that is 2743986 that is divisible by both numbers.

Least Common Multiple (LCM) of 1654 and 1659 is 2743986.

LCM(1654,1659) = 2743986

LCM of 1654 and 1659

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

LCM of:
and

Least Common Multiple of 1654 and 1659

LCM of 1654 and 1659 is 2743986

Least common multiple can be found by multiplying the highest exponent prime factors of 1654 and 1659. First we will calculate the prime factors of 1654 and 1659.

Prime Factorization of 1654


2 1654
827 827
1

Prime factors of 1654 are 2,827. Prime factorization of 1654 in exponential form is:

1654 = 21×8271

Prime Factorization of 1659


3 1659
7 553
79 79
1

Prime factors of 1659 are 3, 7,79. Prime factorization of 1659 in exponential form is:

1659 = 31×71×791

Now multiplying the highest exponent prime factors to calculate the LCM of 1654 and 1659.

LCM(1654,1659) = 21×31×71×791×8271
LCM(1654,1659) = 2743986

Factors of 1654

List of positive integer factors of 1654 that divides 1654 without a remainder.

1, 2, 827, 1654

Factors of 1659

List of positive integer factors of 1659 that divides 1659 without a remainder.

1, 3, 7, 21, 79, 237, 553, 1659

Least Common Multiple of 1654 and 1659 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 1654 and 1659, than apply into the LCM equation.

GCF(1654,1659) = 1
LCM(1654,1659) = ( 1654 × 1659) / 1
LCM(1654,1659) = 2743986 / 1
LCM(1654,1659) = 2743986

Properties of LCM 1654 and 1659

(i) The LCM of 1659 and 1654 is associative

LCM of 1654 and 1659 = LCM of 1659 and 1654

Related Least Common Multiples of 1654

Related Least Common Multiples of 1659

Frequently Asked Questions on LCM of 1654 and 1659

1. What is the LCM of 1654 and 1659?

Answer: LCM of 1654 and 1659 is 2743986.

2. What are the Factors of 1654?

Answer: Factors of 1654 are 1, 2, 827, 1654. There are 4 integers that are factors of 1654. The greatest factor of 1654 is 1654.

3. What are the Factors of 1659?

Answer: Factors of 1659 are 1, 3, 7, 21, 79, 237, 553, 1659. There are 8 integers that are factors of 1659. The greatest factor of 1659 is 1659.

4. How to Find the LCM of 1654 and 1659?

Answer:

Least Common Multiple of 1654 and 1659 = 2743986

Step 1: Find the prime factorization of 1654

1654 = 2 x 827

Step 2: Find the prime factorization of 1659

1659 = 3 x 7 x 79

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

LCM = 2743986 = 2 x 3 x 7 x 79 x 827

Step 4: Therefore, the least common multiple of 1654 and 1659 is 2743986.