Least Common Multiple of 4646 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 4646 and 4650 the smallest integer that is 10801950 that is divisible by both numbers.

Least Common Multiple (LCM) of 4646 and 4650 is 10801950.

LCM(4646,4650) = 10801950

LCM of 4646 and 4650

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

LCM of:
and

Least Common Multiple of 4646 and 4650

LCM of 4646 and 4650 is 10801950

Least common multiple can be found by multiplying the highest exponent prime factors of 4646 and 4650. First we will calculate the prime factors of 4646 and 4650.

Prime Factorization of 4646


2 4646
23 2323
101 101
1

Prime factors of 4646 are 2, 23,101. Prime factorization of 4646 in exponential form is:

4646 = 21×231×1011

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 4646 and 4650.

LCM(4646,4650) = 21×31×52×231×311×1011
LCM(4646,4650) = 10801950

Factors of 4646

List of positive integer factors of 4646 that divides 4646 without a remainder.

1, 2, 23, 46, 101, 202, 2323, 4646

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 4646 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 4646 and 4650, than apply into the LCM equation.

GCF(4646,4650) = 2
LCM(4646,4650) = ( 4646 × 4650) / 2
LCM(4646,4650) = 21603900 / 2
LCM(4646,4650) = 10801950

Properties of LCM 4646 and 4650

(i) The LCM of 4650 and 4646 is associative

LCM of 4646 and 4650 = LCM of 4650 and 4646

Related Least Common Multiples of 4646

Related Least Common Multiples of 4650

Frequently Asked Questions on LCM of 4646 and 4650

1. What is the LCM of 4646 and 4650?

Answer: LCM of 4646 and 4650 is 10801950.

2. What are the Factors of 4646?

Answer: Factors of 4646 are 1, 2, 23, 46, 101, 202, 2323, 4646. There are 8 integers that are factors of 4646. The greatest factor of 4646 is 4646.

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 4646 and 4650?

Answer:

Least Common Multiple of 4646 and 4650 = 10801950

Step 1: Find the prime factorization of 4646

4646 = 2 x 23 x 101

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 = 10801950 = 2 x 3 x 5 x 5 x 23 x 31 x 101

Step 4: Therefore, the least common multiple of 4646 and 4650 is 10801950.