Least Common Multiple of 4546 and 4552

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 4552 the smallest integer that is 10346696 that is divisible by both numbers.

Least Common Multiple (LCM) of 4546 and 4552 is 10346696.

LCM(4546,4552) = 10346696

LCM of 4546 and 4552

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

LCM of:
and

Least Common Multiple of 4546 and 4552

LCM of 4546 and 4552 is 10346696

Least common multiple can be found by multiplying the highest exponent prime factors of 4546 and 4552. First we will calculate the prime factors of 4546 and 4552.

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 4552


2 4552
2 2276
2 1138
569 569
1

Prime factors of 4552 are 2,569. Prime factorization of 4552 in exponential form is:

4552 = 23×5691

Now multiplying the highest exponent prime factors to calculate the LCM of 4546 and 4552.

LCM(4546,4552) = 23×5691×22731
LCM(4546,4552) = 10346696

Factors of 4546

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

1, 2, 2273, 4546

Factors of 4552

List of positive integer factors of 4552 that divides 4552 without a remainder.

1, 2, 4, 8, 569, 1138, 2276, 4552

Least Common Multiple of 4546 and 4552 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 4552, than apply into the LCM equation.

GCF(4546,4552) = 2
LCM(4546,4552) = ( 4546 × 4552) / 2
LCM(4546,4552) = 20693392 / 2
LCM(4546,4552) = 10346696

Properties of LCM 4546 and 4552

(i) The LCM of 4552 and 4546 is associative

LCM of 4546 and 4552 = LCM of 4552 and 4546

Related Least Common Multiples of 4546

Related Least Common Multiples of 4552

Frequently Asked Questions on LCM of 4546 and 4552

1. What is the LCM of 4546 and 4552?

Answer: LCM of 4546 and 4552 is 10346696.

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 4552?

Answer: Factors of 4552 are 1, 2, 4, 8, 569, 1138, 2276, 4552. There are 8 integers that are factors of 4552. The greatest factor of 4552 is 4552.

4. How to Find the LCM of 4546 and 4552?

Answer:

Least Common Multiple of 4546 and 4552 = 10346696

Step 1: Find the prime factorization of 4546

4546 = 2 x 2273

Step 2: Find the prime factorization of 4552

4552 = 2 x 2 x 2 x 569

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

LCM = 10346696 = 2 x 2 x 2 x 569 x 2273

Step 4: Therefore, the least common multiple of 4546 and 4552 is 10346696.