Least Common Multiple of 537 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 537 and 545 the smallest integer that is 292665 that is divisible by both numbers.

Least Common Multiple (LCM) of 537 and 545 is 292665.

LCM(537,545) = 292665

LCM of 537 and 545

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

LCM of:
and

Least Common Multiple of 537 and 545

LCM of 537 and 545 is 292665

Least common multiple can be found by multiplying the highest exponent prime factors of 537 and 545. First we will calculate the prime factors of 537 and 545.

Prime Factorization of 537


3 537
179 179
1

Prime factors of 537 are 3,179. Prime factorization of 537 in exponential form is:

537 = 31×1791

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 537 and 545.

LCM(537,545) = 31×51×1091×1791
LCM(537,545) = 292665

Factors of 537

List of positive integer factors of 537 that divides 537 without a remainder.

1, 3, 179, 537

Factors of 545

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

1, 5, 109, 545

Least Common Multiple of 537 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 537 and 545, than apply into the LCM equation.

GCF(537,545) = 1
LCM(537,545) = ( 537 × 545) / 1
LCM(537,545) = 292665 / 1
LCM(537,545) = 292665

Properties of LCM 537 and 545

(i) The LCM of 545 and 537 is associative

LCM of 537 and 545 = LCM of 545 and 537

Related Least Common Multiples of 537

Related Least Common Multiples of 545

Frequently Asked Questions on LCM of 537 and 545

1. What is the LCM of 537 and 545?

Answer: LCM of 537 and 545 is 292665.

2. What are the Factors of 537?

Answer: Factors of 537 are 1, 3, 179, 537. There are 4 integers that are factors of 537. The greatest factor of 537 is 537.

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 537 and 545?

Answer:

Least Common Multiple of 537 and 545 = 292665

Step 1: Find the prime factorization of 537

537 = 3 x 179

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 = 292665 = 3 x 5 x 109 x 179

Step 4: Therefore, the least common multiple of 537 and 545 is 292665.