Least Common Multiple of 6546 and 6552

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 6546 and 6552 the smallest integer that is 7148232 that is divisible by both numbers.

Least Common Multiple (LCM) of 6546 and 6552 is 7148232.

LCM(6546,6552) = 7148232

LCM of 6546 and 6552

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

LCM of:
and

Least Common Multiple of 6546 and 6552

LCM of 6546 and 6552 is 7148232

Least common multiple can be found by multiplying the highest exponent prime factors of 6546 and 6552. First we will calculate the prime factors of 6546 and 6552.

Prime Factorization of 6546


2 6546
3 3273
1091 1091
1

Prime factors of 6546 are 2, 3,1091. Prime factorization of 6546 in exponential form is:

6546 = 21×31×10911

Prime Factorization of 6552


2 6552
2 3276
2 1638
3 819
3 273
7 91
13 13
1

Prime factors of 6552 are 2, 3, 7,13. Prime factorization of 6552 in exponential form is:

6552 = 23×32×71×131

Now multiplying the highest exponent prime factors to calculate the LCM of 6546 and 6552.

LCM(6546,6552) = 23×32×71×131×10911
LCM(6546,6552) = 7148232

Factors of 6546

List of positive integer factors of 6546 that divides 6546 without a remainder.

1, 2, 3, 6, 1091, 2182, 3273, 6546

Factors of 6552

List of positive integer factors of 6552 that divides 6552 without a remainder.

1, 2, 3, 4, 6, 7, 8, 9, 12, 13, 14, 18, 21, 24, 26, 28, 36, 39, 42, 52, 56, 63, 72, 78, 84, 91, 104, 117, 126, 156, 168, 182, 234, 252, 273, 312, 364, 468, 504, 546, 728, 819, 936, 1092, 1638, 2184, 3276, 6552

Least Common Multiple of 6546 and 6552 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 6546 and 6552, than apply into the LCM equation.

GCF(6546,6552) = 6
LCM(6546,6552) = ( 6546 × 6552) / 6
LCM(6546,6552) = 42889392 / 6
LCM(6546,6552) = 7148232

Properties of LCM 6546 and 6552

(i) The LCM of 6552 and 6546 is associative

LCM of 6546 and 6552 = LCM of 6552 and 6546

Related Least Common Multiples of 6546

Related Least Common Multiples of 6552

Frequently Asked Questions on LCM of 6546 and 6552

1. What is the LCM of 6546 and 6552?

Answer: LCM of 6546 and 6552 is 7148232.

2. What are the Factors of 6546?

Answer: Factors of 6546 are 1, 2, 3, 6, 1091, 2182, 3273, 6546. There are 8 integers that are factors of 6546. The greatest factor of 6546 is 6546.

3. What are the Factors of 6552?

Answer: Factors of 6552 are 1, 2, 3, 4, 6, 7, 8, 9, 12, 13, 14, 18, 21, 24, 26, 28, 36, 39, 42, 52, 56, 63, 72, 78, 84, 91, 104, 117, 126, 156, 168, 182, 234, 252, 273, 312, 364, 468, 504, 546, 728, 819, 936, 1092, 1638, 2184, 3276, 6552. There are 48 integers that are factors of 6552. The greatest factor of 6552 is 6552.

4. How to Find the LCM of 6546 and 6552?

Answer:

Least Common Multiple of 6546 and 6552 = 7148232

Step 1: Find the prime factorization of 6546

6546 = 2 x 3 x 1091

Step 2: Find the prime factorization of 6552

6552 = 2 x 2 x 2 x 3 x 3 x 7 x 13

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

LCM = 7148232 = 2 x 2 x 2 x 3 x 3 x 7 x 13 x 1091

Step 4: Therefore, the least common multiple of 6546 and 6552 is 7148232.