Least Common Multiple of 4538 and 4546

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 4538 and 4546 the smallest integer that is 10314874 that is divisible by both numbers.

Least Common Multiple (LCM) of 4538 and 4546 is 10314874.

LCM(4538,4546) = 10314874

LCM of 4538 and 4546

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

LCM of:
and

Least Common Multiple of 4538 and 4546

LCM of 4538 and 4546 is 10314874

Least common multiple can be found by multiplying the highest exponent prime factors of 4538 and 4546. First we will calculate the prime factors of 4538 and 4546.

Prime Factorization of 4538


2 4538
2269 2269
1

Prime factors of 4538 are 2,2269. Prime factorization of 4538 in exponential form is:

4538 = 21×22691

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

Now multiplying the highest exponent prime factors to calculate the LCM of 4538 and 4546.

LCM(4538,4546) = 21×22691×22731
LCM(4538,4546) = 10314874

Factors of 4538

List of positive integer factors of 4538 that divides 4538 without a remainder.

1, 2, 2269, 4538

Factors of 4546

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

1, 2, 2273, 4546

Least Common Multiple of 4538 and 4546 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 4538 and 4546, than apply into the LCM equation.

GCF(4538,4546) = 2
LCM(4538,4546) = ( 4538 × 4546) / 2
LCM(4538,4546) = 20629748 / 2
LCM(4538,4546) = 10314874

Properties of LCM 4538 and 4546

(i) The LCM of 4546 and 4538 is associative

LCM of 4538 and 4546 = LCM of 4546 and 4538

Related Least Common Multiples of 4538

Related Least Common Multiples of 4546

Frequently Asked Questions on LCM of 4538 and 4546

1. What is the LCM of 4538 and 4546?

Answer: LCM of 4538 and 4546 is 10314874.

2. What are the Factors of 4538?

Answer: Factors of 4538 are 1, 2, 2269, 4538. There are 4 integers that are factors of 4538. The greatest factor of 4538 is 4538.

3. 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.

4. How to Find the LCM of 4538 and 4546?

Answer:

Least Common Multiple of 4538 and 4546 = 10314874

Step 1: Find the prime factorization of 4538

4538 = 2 x 2269

Step 2: Find the prime factorization of 4546

4546 = 2 x 2273

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

LCM = 10314874 = 2 x 2269 x 2273

Step 4: Therefore, the least common multiple of 4538 and 4546 is 10314874.