Least Common Multiple of 4642 and 4647

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 4642 and 4647 the smallest integer that is 21571374 that is divisible by both numbers.

Least Common Multiple (LCM) of 4642 and 4647 is 21571374.

LCM(4642,4647) = 21571374

LCM of 4642 and 4647

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

LCM of:
and

Least Common Multiple of 4642 and 4647

LCM of 4642 and 4647 is 21571374

Least common multiple can be found by multiplying the highest exponent prime factors of 4642 and 4647. First we will calculate the prime factors of 4642 and 4647.

Prime Factorization of 4642


2 4642
11 2321
211 211
1

Prime factors of 4642 are 2, 11,211. Prime factorization of 4642 in exponential form is:

4642 = 21×111×2111

Prime Factorization of 4647


3 4647
1549 1549
1

Prime factors of 4647 are 3,1549. Prime factorization of 4647 in exponential form is:

4647 = 31×15491

Now multiplying the highest exponent prime factors to calculate the LCM of 4642 and 4647.

LCM(4642,4647) = 21×31×111×2111×15491
LCM(4642,4647) = 21571374

Factors of 4642

List of positive integer factors of 4642 that divides 4642 without a remainder.

1, 2, 11, 22, 211, 422, 2321, 4642

Factors of 4647

List of positive integer factors of 4647 that divides 4647 without a remainder.

1, 3, 1549, 4647

Least Common Multiple of 4642 and 4647 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 4642 and 4647, than apply into the LCM equation.

GCF(4642,4647) = 1
LCM(4642,4647) = ( 4642 × 4647) / 1
LCM(4642,4647) = 21571374 / 1
LCM(4642,4647) = 21571374

Properties of LCM 4642 and 4647

(i) The LCM of 4647 and 4642 is associative

LCM of 4642 and 4647 = LCM of 4647 and 4642

Related Least Common Multiples of 4642

Related Least Common Multiples of 4647

Frequently Asked Questions on LCM of 4642 and 4647

1. What is the LCM of 4642 and 4647?

Answer: LCM of 4642 and 4647 is 21571374.

2. What are the Factors of 4642?

Answer: Factors of 4642 are 1, 2, 11, 22, 211, 422, 2321, 4642. There are 8 integers that are factors of 4642. The greatest factor of 4642 is 4642.

3. What are the Factors of 4647?

Answer: Factors of 4647 are 1, 3, 1549, 4647. There are 4 integers that are factors of 4647. The greatest factor of 4647 is 4647.

4. How to Find the LCM of 4642 and 4647?

Answer:

Least Common Multiple of 4642 and 4647 = 21571374

Step 1: Find the prime factorization of 4642

4642 = 2 x 11 x 211

Step 2: Find the prime factorization of 4647

4647 = 3 x 1549

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

LCM = 21571374 = 2 x 3 x 11 x 211 x 1549

Step 4: Therefore, the least common multiple of 4642 and 4647 is 21571374.