Least Common Multiple of 542 and 545

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 545 the smallest integer that is 295390 that is divisible by both numbers.

Least Common Multiple (LCM) of 542 and 545 is 295390.

LCM(542,545) = 295390

LCM of 542 and 545

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

LCM of:
and

Least Common Multiple of 542 and 545

LCM of 542 and 545 is 295390

Least common multiple can be found by multiplying the highest exponent prime factors of 542 and 545. First we will calculate the prime factors of 542 and 545.

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 545


5 545
109 109
1

Prime factors of 545 are 5,109. Prime factorization of 545 in exponential form is:

545 = 51×1091

Now multiplying the highest exponent prime factors to calculate the LCM of 542 and 545.

LCM(542,545) = 21×51×1091×2711
LCM(542,545) = 295390

Factors of 542

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

1, 2, 271, 542

Factors of 545

List of positive integer factors of 545 that divides 545 without a remainder.

1, 5, 109, 545

Least Common Multiple of 542 and 545 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 545, than apply into the LCM equation.

GCF(542,545) = 1
LCM(542,545) = ( 542 × 545) / 1
LCM(542,545) = 295390 / 1
LCM(542,545) = 295390

Properties of LCM 542 and 545

(i) The LCM of 545 and 542 is associative

LCM of 542 and 545 = LCM of 545 and 542

Related Least Common Multiples of 542

Related Least Common Multiples of 545

Frequently Asked Questions on LCM of 542 and 545

1. What is the LCM of 542 and 545?

Answer: LCM of 542 and 545 is 295390.

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 545?

Answer: Factors of 545 are 1, 5, 109, 545. There are 4 integers that are factors of 545. The greatest factor of 545 is 545.

4. How to Find the LCM of 542 and 545?

Answer:

Least Common Multiple of 542 and 545 = 295390

Step 1: Find the prime factorization of 542

542 = 2 x 271

Step 2: Find the prime factorization of 545

545 = 5 x 109

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

LCM = 295390 = 2 x 5 x 109 x 271

Step 4: Therefore, the least common multiple of 542 and 545 is 295390.