Least Common Multiple of 4642 and 4648

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 4648 the smallest integer that is 10788008 that is divisible by both numbers.

Least Common Multiple (LCM) of 4642 and 4648 is 10788008.

LCM(4642,4648) = 10788008

LCM of 4642 and 4648

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

LCM of:
and

Least Common Multiple of 4642 and 4648

LCM of 4642 and 4648 is 10788008

Least common multiple can be found by multiplying the highest exponent prime factors of 4642 and 4648. First we will calculate the prime factors of 4642 and 4648.

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 4648


2 4648
2 2324
2 1162
7 581
83 83
1

Prime factors of 4648 are 2, 7,83. Prime factorization of 4648 in exponential form is:

4648 = 23×71×831

Now multiplying the highest exponent prime factors to calculate the LCM of 4642 and 4648.

LCM(4642,4648) = 23×71×111×831×2111
LCM(4642,4648) = 10788008

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 4648

List of positive integer factors of 4648 that divides 4648 without a remainder.

1, 2, 4, 7, 8, 14, 28, 56, 83, 166, 332, 581, 664, 1162, 2324, 4648

Least Common Multiple of 4642 and 4648 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 4648, than apply into the LCM equation.

GCF(4642,4648) = 2
LCM(4642,4648) = ( 4642 × 4648) / 2
LCM(4642,4648) = 21576016 / 2
LCM(4642,4648) = 10788008

Properties of LCM 4642 and 4648

(i) The LCM of 4648 and 4642 is associative

LCM of 4642 and 4648 = LCM of 4648 and 4642

Related Least Common Multiples of 4642

Related Least Common Multiples of 4648

Frequently Asked Questions on LCM of 4642 and 4648

1. What is the LCM of 4642 and 4648?

Answer: LCM of 4642 and 4648 is 10788008.

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 4648?

Answer: Factors of 4648 are 1, 2, 4, 7, 8, 14, 28, 56, 83, 166, 332, 581, 664, 1162, 2324, 4648. There are 16 integers that are factors of 4648. The greatest factor of 4648 is 4648.

4. How to Find the LCM of 4642 and 4648?

Answer:

Least Common Multiple of 4642 and 4648 = 10788008

Step 1: Find the prime factorization of 4642

4642 = 2 x 11 x 211

Step 2: Find the prime factorization of 4648

4648 = 2 x 2 x 2 x 7 x 83

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

LCM = 10788008 = 2 x 2 x 2 x 7 x 11 x 83 x 211

Step 4: Therefore, the least common multiple of 4642 and 4648 is 10788008.