Least Common Multiple of 542 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 542 and 548 the smallest integer that is 148508 that is divisible by both numbers.

Least Common Multiple (LCM) of 542 and 548 is 148508.

LCM(542,548) = 148508

LCM of 542 and 548

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

LCM of:
and

Least Common Multiple of 542 and 548

LCM of 542 and 548 is 148508

Least common multiple can be found by multiplying the highest exponent prime factors of 542 and 548. First we will calculate the prime factors of 542 and 548.

Prime Factorization of 542


2 542
271 271
1

Prime factors of 542 are 2,271. Prime factorization of 542 in exponential form is:

542 = 21×2711

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 542 and 548.

LCM(542,548) = 22×1371×2711
LCM(542,548) = 148508

Factors of 542

List of positive integer factors of 542 that divides 542 without a remainder.

1, 2, 271, 542

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 542 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 542 and 548, than apply into the LCM equation.

GCF(542,548) = 2
LCM(542,548) = ( 542 × 548) / 2
LCM(542,548) = 297016 / 2
LCM(542,548) = 148508

Properties of LCM 542 and 548

(i) The LCM of 548 and 542 is associative

LCM of 542 and 548 = LCM of 548 and 542

Related Least Common Multiples of 542

Related Least Common Multiples of 548

Frequently Asked Questions on LCM of 542 and 548

1. What is the LCM of 542 and 548?

Answer: LCM of 542 and 548 is 148508.

2. What are the Factors of 542?

Answer: Factors of 542 are 1, 2, 271, 542. There are 4 integers that are factors of 542. The greatest factor of 542 is 542.

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 542 and 548?

Answer:

Least Common Multiple of 542 and 548 = 148508

Step 1: Find the prime factorization of 542

542 = 2 x 271

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 = 148508 = 2 x 2 x 137 x 271

Step 4: Therefore, the least common multiple of 542 and 548 is 148508.