Least Common Multiple of 4650 and 4655

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 4650 and 4655 the smallest integer that is 4329150 that is divisible by both numbers.

Least Common Multiple (LCM) of 4650 and 4655 is 4329150.

LCM(4650,4655) = 4329150

LCM of 4650 and 4655

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

LCM of:
and

Least Common Multiple of 4650 and 4655

LCM of 4650 and 4655 is 4329150

Least common multiple can be found by multiplying the highest exponent prime factors of 4650 and 4655. First we will calculate the prime factors of 4650 and 4655.

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

Prime Factorization of 4655


5 4655
7 931
7 133
19 19
1

Prime factors of 4655 are 5, 7,19. Prime factorization of 4655 in exponential form is:

4655 = 51×72×191

Now multiplying the highest exponent prime factors to calculate the LCM of 4650 and 4655.

LCM(4650,4655) = 21×31×52×72×191×311
LCM(4650,4655) = 4329150

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

Factors of 4655

List of positive integer factors of 4655 that divides 4655 without a remainder.

1, 5, 7, 19, 35, 49, 95, 133, 245, 665, 931, 4655

Least Common Multiple of 4650 and 4655 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 4650 and 4655, than apply into the LCM equation.

GCF(4650,4655) = 5
LCM(4650,4655) = ( 4650 × 4655) / 5
LCM(4650,4655) = 21645750 / 5
LCM(4650,4655) = 4329150

Properties of LCM 4650 and 4655

(i) The LCM of 4655 and 4650 is associative

LCM of 4650 and 4655 = LCM of 4655 and 4650

Related Least Common Multiples of 4650

Related Least Common Multiples of 4655

Frequently Asked Questions on LCM of 4650 and 4655

1. What is the LCM of 4650 and 4655?

Answer: LCM of 4650 and 4655 is 4329150.

2. 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.

3. What are the Factors of 4655?

Answer: Factors of 4655 are 1, 5, 7, 19, 35, 49, 95, 133, 245, 665, 931, 4655. There are 12 integers that are factors of 4655. The greatest factor of 4655 is 4655.

4. How to Find the LCM of 4650 and 4655?

Answer:

Least Common Multiple of 4650 and 4655 = 4329150

Step 1: Find the prime factorization of 4650

4650 = 2 x 3 x 5 x 5 x 31

Step 2: Find the prime factorization of 4655

4655 = 5 x 7 x 7 x 19

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

LCM = 4329150 = 2 x 3 x 5 x 5 x 7 x 7 x 19 x 31

Step 4: Therefore, the least common multiple of 4650 and 4655 is 4329150.