Least Common Multiple of 4642 and 4650

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 4650 the smallest integer that is 10792650 that is divisible by both numbers.

Least Common Multiple (LCM) of 4642 and 4650 is 10792650.

LCM(4642,4650) = 10792650

LCM of 4642 and 4650

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

LCM of:
and

Least Common Multiple of 4642 and 4650

LCM of 4642 and 4650 is 10792650

Least common multiple can be found by multiplying the highest exponent prime factors of 4642 and 4650. First we will calculate the prime factors of 4642 and 4650.

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 4650


2 4650
3 2325
5 775
5 155
31 31
1

Prime factors of 4650 are 2, 3, 5,31. Prime factorization of 4650 in exponential form is:

4650 = 21×31×52×311

Now multiplying the highest exponent prime factors to calculate the LCM of 4642 and 4650.

LCM(4642,4650) = 21×31×52×111×311×2111
LCM(4642,4650) = 10792650

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 4650

List of positive integer factors of 4650 that divides 4650 without a remainder.

1, 2, 3, 5, 6, 10, 15, 25, 30, 31, 50, 62, 75, 93, 150, 155, 186, 310, 465, 775, 930, 1550, 2325, 4650

Least Common Multiple of 4642 and 4650 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 4650, than apply into the LCM equation.

GCF(4642,4650) = 2
LCM(4642,4650) = ( 4642 × 4650) / 2
LCM(4642,4650) = 21585300 / 2
LCM(4642,4650) = 10792650

Properties of LCM 4642 and 4650

(i) The LCM of 4650 and 4642 is associative

LCM of 4642 and 4650 = LCM of 4650 and 4642

Related Least Common Multiples of 4642

Related Least Common Multiples of 4650

Frequently Asked Questions on LCM of 4642 and 4650

1. What is the LCM of 4642 and 4650?

Answer: LCM of 4642 and 4650 is 10792650.

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 4650?

Answer: Factors of 4650 are 1, 2, 3, 5, 6, 10, 15, 25, 30, 31, 50, 62, 75, 93, 150, 155, 186, 310, 465, 775, 930, 1550, 2325, 4650. There are 24 integers that are factors of 4650. The greatest factor of 4650 is 4650.

4. How to Find the LCM of 4642 and 4650?

Answer:

Least Common Multiple of 4642 and 4650 = 10792650

Step 1: Find the prime factorization of 4642

4642 = 2 x 11 x 211

Step 2: Find the prime factorization of 4650

4650 = 2 x 3 x 5 x 5 x 31

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

LCM = 10792650 = 2 x 3 x 5 x 5 x 11 x 31 x 211

Step 4: Therefore, the least common multiple of 4642 and 4650 is 10792650.