Least Common Multiple of 21495 and 21501

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 21495 and 21501 the smallest integer that is 154054665 that is divisible by both numbers.

Least Common Multiple (LCM) of 21495 and 21501 is 154054665.

LCM(21495,21501) = 154054665

LCM of 21495 and 21501

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

LCM of:
and

Least Common Multiple of 21495 and 21501

LCM of 21495 and 21501 is 154054665

Least common multiple can be found by multiplying the highest exponent prime factors of 21495 and 21501. First we will calculate the prime factors of 21495 and 21501.

Prime Factorization of 21495


3 21495
5 7165
1433 1433
1

Prime factors of 21495 are 3, 5,1433. Prime factorization of 21495 in exponential form is:

21495 = 31×51×14331

Prime Factorization of 21501


3 21501
3 7167
2389 2389
1

Prime factors of 21501 are 3,2389. Prime factorization of 21501 in exponential form is:

21501 = 32×23891

Now multiplying the highest exponent prime factors to calculate the LCM of 21495 and 21501.

LCM(21495,21501) = 32×51×14331×23891
LCM(21495,21501) = 154054665

Factors of 21495

List of positive integer factors of 21495 that divides 21495 without a remainder.

1, 3, 5, 15, 1433, 4299, 7165, 21495

Factors of 21501

List of positive integer factors of 21501 that divides 21501 without a remainder.

1, 3, 9, 2389, 7167, 21501

Least Common Multiple of 21495 and 21501 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 21495 and 21501, than apply into the LCM equation.

GCF(21495,21501) = 3
LCM(21495,21501) = ( 21495 × 21501) / 3
LCM(21495,21501) = 462163995 / 3
LCM(21495,21501) = 154054665

Properties of LCM 21495 and 21501

(i) The LCM of 21501 and 21495 is associative

LCM of 21495 and 21501 = LCM of 21501 and 21495

Related Least Common Multiples of 21495

Related Least Common Multiples of 21501

Frequently Asked Questions on LCM of 21495 and 21501

1. What is the LCM of 21495 and 21501?

Answer: LCM of 21495 and 21501 is 154054665.

2. What are the Factors of 21495?

Answer: Factors of 21495 are 1, 3, 5, 15, 1433, 4299, 7165, 21495. There are 8 integers that are factors of 21495. The greatest factor of 21495 is 21495.

3. What are the Factors of 21501?

Answer: Factors of 21501 are 1, 3, 9, 2389, 7167, 21501. There are 6 integers that are factors of 21501. The greatest factor of 21501 is 21501.

4. How to Find the LCM of 21495 and 21501?

Answer:

Least Common Multiple of 21495 and 21501 = 154054665

Step 1: Find the prime factorization of 21495

21495 = 3 x 5 x 1433

Step 2: Find the prime factorization of 21501

21501 = 3 x 3 x 2389

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

LCM = 154054665 = 3 x 3 x 5 x 1433 x 2389

Step 4: Therefore, the least common multiple of 21495 and 21501 is 154054665.