Least Common Multiple of 1654 and 1662

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 1662 the smallest integer that is 1374474 that is divisible by both numbers.

Least Common Multiple (LCM) of 1654 and 1662 is 1374474.

LCM(1654,1662) = 1374474

LCM of 1654 and 1662

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

LCM of:
and

Least Common Multiple of 1654 and 1662

LCM of 1654 and 1662 is 1374474

Least common multiple can be found by multiplying the highest exponent prime factors of 1654 and 1662. First we will calculate the prime factors of 1654 and 1662.

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 1662


2 1662
3 831
277 277
1

Prime factors of 1662 are 2, 3,277. Prime factorization of 1662 in exponential form is:

1662 = 21×31×2771

Now multiplying the highest exponent prime factors to calculate the LCM of 1654 and 1662.

LCM(1654,1662) = 21×31×2771×8271
LCM(1654,1662) = 1374474

Factors of 1654

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

1, 2, 827, 1654

Factors of 1662

List of positive integer factors of 1662 that divides 1662 without a remainder.

1, 2, 3, 6, 277, 554, 831, 1662

Least Common Multiple of 1654 and 1662 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 1662, than apply into the LCM equation.

GCF(1654,1662) = 2
LCM(1654,1662) = ( 1654 × 1662) / 2
LCM(1654,1662) = 2748948 / 2
LCM(1654,1662) = 1374474

Properties of LCM 1654 and 1662

(i) The LCM of 1662 and 1654 is associative

LCM of 1654 and 1662 = LCM of 1662 and 1654

Related Least Common Multiples of 1654

Related Least Common Multiples of 1662

Frequently Asked Questions on LCM of 1654 and 1662

1. What is the LCM of 1654 and 1662?

Answer: LCM of 1654 and 1662 is 1374474.

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 1662?

Answer: Factors of 1662 are 1, 2, 3, 6, 277, 554, 831, 1662. There are 8 integers that are factors of 1662. The greatest factor of 1662 is 1662.

4. How to Find the LCM of 1654 and 1662?

Answer:

Least Common Multiple of 1654 and 1662 = 1374474

Step 1: Find the prime factorization of 1654

1654 = 2 x 827

Step 2: Find the prime factorization of 1662

1662 = 2 x 3 x 277

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

LCM = 1374474 = 2 x 3 x 277 x 827

Step 4: Therefore, the least common multiple of 1654 and 1662 is 1374474.