Least Common Multiple of 4644 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 4644 and 4650 the smallest integer that is 3599100 that is divisible by both numbers.

Least Common Multiple (LCM) of 4644 and 4650 is 3599100.

LCM(4644,4650) = 3599100

LCM of 4644 and 4650

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

LCM of:
and

Least Common Multiple of 4644 and 4650

LCM of 4644 and 4650 is 3599100

Least common multiple can be found by multiplying the highest exponent prime factors of 4644 and 4650. First we will calculate the prime factors of 4644 and 4650.

Prime Factorization of 4644


2 4644
2 2322
3 1161
3 387
3 129
43 43
1

Prime factors of 4644 are 2, 3,43. Prime factorization of 4644 in exponential form is:

4644 = 22×33×431

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 4644 and 4650.

LCM(4644,4650) = 22×33×52×311×431
LCM(4644,4650) = 3599100

Factors of 4644

List of positive integer factors of 4644 that divides 4644 without a remainder.

1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 43, 54, 86, 108, 129, 172, 258, 387, 516, 774, 1161, 1548, 2322, 4644

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 4644 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 4644 and 4650, than apply into the LCM equation.

GCF(4644,4650) = 6
LCM(4644,4650) = ( 4644 × 4650) / 6
LCM(4644,4650) = 21594600 / 6
LCM(4644,4650) = 3599100

Properties of LCM 4644 and 4650

(i) The LCM of 4650 and 4644 is associative

LCM of 4644 and 4650 = LCM of 4650 and 4644

Related Least Common Multiples of 4644

Related Least Common Multiples of 4650

Frequently Asked Questions on LCM of 4644 and 4650

1. What is the LCM of 4644 and 4650?

Answer: LCM of 4644 and 4650 is 3599100.

2. What are the Factors of 4644?

Answer: Factors of 4644 are 1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 43, 54, 86, 108, 129, 172, 258, 387, 516, 774, 1161, 1548, 2322, 4644. There are 24 integers that are factors of 4644. The greatest factor of 4644 is 4644.

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 4644 and 4650?

Answer:

Least Common Multiple of 4644 and 4650 = 3599100

Step 1: Find the prime factorization of 4644

4644 = 2 x 2 x 3 x 3 x 3 x 43

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 = 3599100 = 2 x 2 x 3 x 3 x 3 x 5 x 5 x 31 x 43

Step 4: Therefore, the least common multiple of 4644 and 4650 is 3599100.