Least Common Multiple of 6654 and 6662

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 6654 and 6662 the smallest integer that is 22164474 that is divisible by both numbers.

Least Common Multiple (LCM) of 6654 and 6662 is 22164474.

LCM(6654,6662) = 22164474

LCM of 6654 and 6662

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

LCM of:
and

Least Common Multiple of 6654 and 6662

LCM of 6654 and 6662 is 22164474

Least common multiple can be found by multiplying the highest exponent prime factors of 6654 and 6662. First we will calculate the prime factors of 6654 and 6662.

Prime Factorization of 6654


2 6654
3 3327
1109 1109
1

Prime factors of 6654 are 2, 3,1109. Prime factorization of 6654 in exponential form is:

6654 = 21×31×11091

Prime Factorization of 6662


2 6662
3331 3331
1

Prime factors of 6662 are 2,3331. Prime factorization of 6662 in exponential form is:

6662 = 21×33311

Now multiplying the highest exponent prime factors to calculate the LCM of 6654 and 6662.

LCM(6654,6662) = 21×31×11091×33311
LCM(6654,6662) = 22164474

Factors of 6654

List of positive integer factors of 6654 that divides 6654 without a remainder.

1, 2, 3, 6, 1109, 2218, 3327, 6654

Factors of 6662

List of positive integer factors of 6662 that divides 6662 without a remainder.

1, 2, 3331, 6662

Least Common Multiple of 6654 and 6662 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 6654 and 6662, than apply into the LCM equation.

GCF(6654,6662) = 2
LCM(6654,6662) = ( 6654 × 6662) / 2
LCM(6654,6662) = 44328948 / 2
LCM(6654,6662) = 22164474

Properties of LCM 6654 and 6662

(i) The LCM of 6662 and 6654 is associative

LCM of 6654 and 6662 = LCM of 6662 and 6654

Related Least Common Multiples of 6654

Related Least Common Multiples of 6662

Frequently Asked Questions on LCM of 6654 and 6662

1. What is the LCM of 6654 and 6662?

Answer: LCM of 6654 and 6662 is 22164474.

2. What are the Factors of 6654?

Answer: Factors of 6654 are 1, 2, 3, 6, 1109, 2218, 3327, 6654. There are 8 integers that are factors of 6654. The greatest factor of 6654 is 6654.

3. What are the Factors of 6662?

Answer: Factors of 6662 are 1, 2, 3331, 6662. There are 4 integers that are factors of 6662. The greatest factor of 6662 is 6662.

4. How to Find the LCM of 6654 and 6662?

Answer:

Least Common Multiple of 6654 and 6662 = 22164474

Step 1: Find the prime factorization of 6654

6654 = 2 x 3 x 1109

Step 2: Find the prime factorization of 6662

6662 = 2 x 3331

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

LCM = 22164474 = 2 x 3 x 1109 x 3331

Step 4: Therefore, the least common multiple of 6654 and 6662 is 22164474.