Least Common Multiple of 538 and 546

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 538 and 546 the smallest integer that is 146874 that is divisible by both numbers.

Least Common Multiple (LCM) of 538 and 546 is 146874.

LCM(538,546) = 146874

LCM of 538 and 546

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

LCM of:
and

Least Common Multiple of 538 and 546

LCM of 538 and 546 is 146874

Least common multiple can be found by multiplying the highest exponent prime factors of 538 and 546. First we will calculate the prime factors of 538 and 546.

Prime Factorization of 538


2 538
269 269
1

Prime factors of 538 are 2,269. Prime factorization of 538 in exponential form is:

538 = 21×2691

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

Now multiplying the highest exponent prime factors to calculate the LCM of 538 and 546.

LCM(538,546) = 21×31×71×131×2691
LCM(538,546) = 146874

Factors of 538

List of positive integer factors of 538 that divides 538 without a remainder.

1, 2, 269, 538

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

Least Common Multiple of 538 and 546 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 538 and 546, than apply into the LCM equation.

GCF(538,546) = 2
LCM(538,546) = ( 538 × 546) / 2
LCM(538,546) = 293748 / 2
LCM(538,546) = 146874

Properties of LCM 538 and 546

(i) The LCM of 546 and 538 is associative

LCM of 538 and 546 = LCM of 546 and 538

Related Least Common Multiples of 538

Related Least Common Multiples of 546

Frequently Asked Questions on LCM of 538 and 546

1. What is the LCM of 538 and 546?

Answer: LCM of 538 and 546 is 146874.

2. What are the Factors of 538?

Answer: Factors of 538 are 1, 2, 269, 538. There are 4 integers that are factors of 538. The greatest factor of 538 is 538.

3. 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.

4. How to Find the LCM of 538 and 546?

Answer:

Least Common Multiple of 538 and 546 = 146874

Step 1: Find the prime factorization of 538

538 = 2 x 269

Step 2: Find the prime factorization of 546

546 = 2 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 = 146874 = 2 x 3 x 7 x 13 x 269

Step 4: Therefore, the least common multiple of 538 and 546 is 146874.