Least Common Multiple of 546 and 548

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 546 and 548 the smallest integer that is 149604 that is divisible by both numbers.

Least Common Multiple (LCM) of 546 and 548 is 149604.

LCM(546,548) = 149604

LCM of 546 and 548

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

LCM of:
and

Least Common Multiple of 546 and 548

LCM of 546 and 548 is 149604

Least common multiple can be found by multiplying the highest exponent prime factors of 546 and 548. First we will calculate the prime factors of 546 and 548.

Prime Factorization of 546


2 546
3 273
7 91
13 13
1

Prime factors of 546 are 2, 3, 7,13. Prime factorization of 546 in exponential form is:

546 = 21×31×71×131

Prime Factorization of 548


2 548
2 274
137 137
1

Prime factors of 548 are 2,137. Prime factorization of 548 in exponential form is:

548 = 22×1371

Now multiplying the highest exponent prime factors to calculate the LCM of 546 and 548.

LCM(546,548) = 22×31×71×131×1371
LCM(546,548) = 149604

Factors of 546

List of positive integer factors of 546 that divides 546 without a remainder.

1, 2, 3, 6, 7, 13, 14, 21, 26, 39, 42, 78, 91, 182, 273, 546

Factors of 548

List of positive integer factors of 548 that divides 548 without a remainder.

1, 2, 4, 137, 274, 548

Least Common Multiple of 546 and 548 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 546 and 548, than apply into the LCM equation.

GCF(546,548) = 2
LCM(546,548) = ( 546 × 548) / 2
LCM(546,548) = 299208 / 2
LCM(546,548) = 149604

Properties of LCM 546 and 548

(i) The LCM of 548 and 546 is associative

LCM of 546 and 548 = LCM of 548 and 546

Related Least Common Multiples of 546

Related Least Common Multiples of 548

Frequently Asked Questions on LCM of 546 and 548

1. What is the LCM of 546 and 548?

Answer: LCM of 546 and 548 is 149604.

2. What are the Factors of 546?

Answer: Factors of 546 are 1, 2, 3, 6, 7, 13, 14, 21, 26, 39, 42, 78, 91, 182, 273, 546. There are 16 integers that are factors of 546. The greatest factor of 546 is 546.

3. What are the Factors of 548?

Answer: Factors of 548 are 1, 2, 4, 137, 274, 548. There are 6 integers that are factors of 548. The greatest factor of 548 is 548.

4. How to Find the LCM of 546 and 548?

Answer:

Least Common Multiple of 546 and 548 = 149604

Step 1: Find the prime factorization of 546

546 = 2 x 3 x 7 x 13

Step 2: Find the prime factorization of 548

548 = 2 x 2 x 137

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

LCM = 149604 = 2 x 2 x 3 x 7 x 13 x 137

Step 4: Therefore, the least common multiple of 546 and 548 is 149604.