Least Common Multiple of 4521 and 4527

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 4521 and 4527 the smallest integer that is 6822189 that is divisible by both numbers.

Least Common Multiple (LCM) of 4521 and 4527 is 6822189.

LCM(4521,4527) = 6822189

LCM of 4521 and 4527

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

LCM of:
and

Least Common Multiple of 4521 and 4527

LCM of 4521 and 4527 is 6822189

Least common multiple can be found by multiplying the highest exponent prime factors of 4521 and 4527. First we will calculate the prime factors of 4521 and 4527.

Prime Factorization of 4521


3 4521
11 1507
137 137
1

Prime factors of 4521 are 3, 11,137. Prime factorization of 4521 in exponential form is:

4521 = 31×111×1371

Prime Factorization of 4527


3 4527
3 1509
503 503
1

Prime factors of 4527 are 3,503. Prime factorization of 4527 in exponential form is:

4527 = 32×5031

Now multiplying the highest exponent prime factors to calculate the LCM of 4521 and 4527.

LCM(4521,4527) = 32×111×1371×5031
LCM(4521,4527) = 6822189

Factors of 4521

List of positive integer factors of 4521 that divides 4521 without a remainder.

1, 3, 11, 33, 137, 411, 1507, 4521

Factors of 4527

List of positive integer factors of 4527 that divides 4527 without a remainder.

1, 3, 9, 503, 1509, 4527

Least Common Multiple of 4521 and 4527 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 4521 and 4527, than apply into the LCM equation.

GCF(4521,4527) = 3
LCM(4521,4527) = ( 4521 × 4527) / 3
LCM(4521,4527) = 20466567 / 3
LCM(4521,4527) = 6822189

Properties of LCM 4521 and 4527

(i) The LCM of 4527 and 4521 is associative

LCM of 4521 and 4527 = LCM of 4527 and 4521

Related Least Common Multiples of 4521

Related Least Common Multiples of 4527

Frequently Asked Questions on LCM of 4521 and 4527

1. What is the LCM of 4521 and 4527?

Answer: LCM of 4521 and 4527 is 6822189.

2. What are the Factors of 4521?

Answer: Factors of 4521 are 1, 3, 11, 33, 137, 411, 1507, 4521. There are 8 integers that are factors of 4521. The greatest factor of 4521 is 4521.

3. What are the Factors of 4527?

Answer: Factors of 4527 are 1, 3, 9, 503, 1509, 4527. There are 6 integers that are factors of 4527. The greatest factor of 4527 is 4527.

4. How to Find the LCM of 4521 and 4527?

Answer:

Least Common Multiple of 4521 and 4527 = 6822189

Step 1: Find the prime factorization of 4521

4521 = 3 x 11 x 137

Step 2: Find the prime factorization of 4527

4527 = 3 x 3 x 503

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

LCM = 6822189 = 3 x 3 x 11 x 137 x 503

Step 4: Therefore, the least common multiple of 4521 and 4527 is 6822189.