Least Common Multiple of 4546 and 4551

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 4546 and 4551 the smallest integer that is 20688846 that is divisible by both numbers.

Least Common Multiple (LCM) of 4546 and 4551 is 20688846.

LCM(4546,4551) = 20688846

LCM of 4546 and 4551

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

LCM of:
and

Least Common Multiple of 4546 and 4551

LCM of 4546 and 4551 is 20688846

Least common multiple can be found by multiplying the highest exponent prime factors of 4546 and 4551. First we will calculate the prime factors of 4546 and 4551.

Prime Factorization of 4546


2 4546
2273 2273
1

Prime factors of 4546 are 2,2273. Prime factorization of 4546 in exponential form is:

4546 = 21×22731

Prime Factorization of 4551


3 4551
37 1517
41 41
1

Prime factors of 4551 are 3, 37,41. Prime factorization of 4551 in exponential form is:

4551 = 31×371×411

Now multiplying the highest exponent prime factors to calculate the LCM of 4546 and 4551.

LCM(4546,4551) = 21×31×371×411×22731
LCM(4546,4551) = 20688846

Factors of 4546

List of positive integer factors of 4546 that divides 4546 without a remainder.

1, 2, 2273, 4546

Factors of 4551

List of positive integer factors of 4551 that divides 4551 without a remainder.

1, 3, 37, 41, 111, 123, 1517, 4551

Least Common Multiple of 4546 and 4551 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 4546 and 4551, than apply into the LCM equation.

GCF(4546,4551) = 1
LCM(4546,4551) = ( 4546 × 4551) / 1
LCM(4546,4551) = 20688846 / 1
LCM(4546,4551) = 20688846

Properties of LCM 4546 and 4551

(i) The LCM of 4551 and 4546 is associative

LCM of 4546 and 4551 = LCM of 4551 and 4546

Related Least Common Multiples of 4546

Related Least Common Multiples of 4551

Frequently Asked Questions on LCM of 4546 and 4551

1. What is the LCM of 4546 and 4551?

Answer: LCM of 4546 and 4551 is 20688846.

2. What are the Factors of 4546?

Answer: Factors of 4546 are 1, 2, 2273, 4546. There are 4 integers that are factors of 4546. The greatest factor of 4546 is 4546.

3. What are the Factors of 4551?

Answer: Factors of 4551 are 1, 3, 37, 41, 111, 123, 1517, 4551. There are 8 integers that are factors of 4551. The greatest factor of 4551 is 4551.

4. How to Find the LCM of 4546 and 4551?

Answer:

Least Common Multiple of 4546 and 4551 = 20688846

Step 1: Find the prime factorization of 4546

4546 = 2 x 2273

Step 2: Find the prime factorization of 4551

4551 = 3 x 37 x 41

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

LCM = 20688846 = 2 x 3 x 37 x 41 x 2273

Step 4: Therefore, the least common multiple of 4546 and 4551 is 20688846.