Least Common Multiple of 6654 and 6660

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 6660 the smallest integer that is 7385940 that is divisible by both numbers.

Least Common Multiple (LCM) of 6654 and 6660 is 7385940.

LCM(6654,6660) = 7385940

LCM of 6654 and 6660

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

LCM of:
and

Least Common Multiple of 6654 and 6660

LCM of 6654 and 6660 is 7385940

Least common multiple can be found by multiplying the highest exponent prime factors of 6654 and 6660. First we will calculate the prime factors of 6654 and 6660.

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 6660


2 6660
2 3330
3 1665
3 555
5 185
37 37
1

Prime factors of 6660 are 2, 3, 5,37. Prime factorization of 6660 in exponential form is:

6660 = 22×32×51×371

Now multiplying the highest exponent prime factors to calculate the LCM of 6654 and 6660.

LCM(6654,6660) = 22×32×51×371×11091
LCM(6654,6660) = 7385940

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 6660

List of positive integer factors of 6660 that divides 6660 without a remainder.

1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 30, 36, 37, 45, 60, 74, 90, 111, 148, 180, 185, 222, 333, 370, 444, 555, 666, 740, 1110, 1332, 1665, 2220, 3330, 6660

Least Common Multiple of 6654 and 6660 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 6660, than apply into the LCM equation.

GCF(6654,6660) = 6
LCM(6654,6660) = ( 6654 × 6660) / 6
LCM(6654,6660) = 44315640 / 6
LCM(6654,6660) = 7385940

Properties of LCM 6654 and 6660

(i) The LCM of 6660 and 6654 is associative

LCM of 6654 and 6660 = LCM of 6660 and 6654

Related Least Common Multiples of 6654

Related Least Common Multiples of 6660

Frequently Asked Questions on LCM of 6654 and 6660

1. What is the LCM of 6654 and 6660?

Answer: LCM of 6654 and 6660 is 7385940.

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 6660?

Answer: Factors of 6660 are 1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 30, 36, 37, 45, 60, 74, 90, 111, 148, 180, 185, 222, 333, 370, 444, 555, 666, 740, 1110, 1332, 1665, 2220, 3330, 6660. There are 36 integers that are factors of 6660. The greatest factor of 6660 is 6660.

4. How to Find the LCM of 6654 and 6660?

Answer:

Least Common Multiple of 6654 and 6660 = 7385940

Step 1: Find the prime factorization of 6654

6654 = 2 x 3 x 1109

Step 2: Find the prime factorization of 6660

6660 = 2 x 2 x 3 x 3 x 5 x 37

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

LCM = 7385940 = 2 x 2 x 3 x 3 x 5 x 37 x 1109

Step 4: Therefore, the least common multiple of 6654 and 6660 is 7385940.