Least Common Multiple of 1653 and 1654

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 1653 and 1654 the smallest integer that is 2734062 that is divisible by both numbers.

Least Common Multiple (LCM) of 1653 and 1654 is 2734062.

LCM(1653,1654) = 2734062

LCM of 1653 and 1654

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

LCM of:
and

Least Common Multiple of 1653 and 1654

LCM of 1653 and 1654 is 2734062

Least common multiple can be found by multiplying the highest exponent prime factors of 1653 and 1654. First we will calculate the prime factors of 1653 and 1654.

Prime Factorization of 1653


3 1653
19 551
29 29
1

Prime factors of 1653 are 3, 19,29. Prime factorization of 1653 in exponential form is:

1653 = 31×191×291

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

Now multiplying the highest exponent prime factors to calculate the LCM of 1653 and 1654.

LCM(1653,1654) = 21×31×191×291×8271
LCM(1653,1654) = 2734062

Factors of 1653

List of positive integer factors of 1653 that divides 1653 without a remainder.

1, 3, 19, 29, 57, 87, 551, 1653

Factors of 1654

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

1, 2, 827, 1654

Least Common Multiple of 1653 and 1654 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 1653 and 1654, than apply into the LCM equation.

GCF(1653,1654) = 1
LCM(1653,1654) = ( 1653 × 1654) / 1
LCM(1653,1654) = 2734062 / 1
LCM(1653,1654) = 2734062

Properties of LCM 1653 and 1654

(i) The LCM of 1654 and 1653 is associative

LCM of 1653 and 1654 = LCM of 1654 and 1653

Related Least Common Multiples of 1653

Related Least Common Multiples of 1654

Frequently Asked Questions on LCM of 1653 and 1654

1. What is the LCM of 1653 and 1654?

Answer: LCM of 1653 and 1654 is 2734062.

2. What are the Factors of 1653?

Answer: Factors of 1653 are 1, 3, 19, 29, 57, 87, 551, 1653. There are 8 integers that are factors of 1653. The greatest factor of 1653 is 1653.

3. 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.

4. How to Find the LCM of 1653 and 1654?

Answer:

Least Common Multiple of 1653 and 1654 = 2734062

Step 1: Find the prime factorization of 1653

1653 = 3 x 19 x 29

Step 2: Find the prime factorization of 1654

1654 = 2 x 827

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

LCM = 2734062 = 2 x 3 x 19 x 29 x 827

Step 4: Therefore, the least common multiple of 1653 and 1654 is 2734062.