Least Common Multiple of 4650 and 4654

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 4654 the smallest integer that is 10820550 that is divisible by both numbers.

Least Common Multiple (LCM) of 4650 and 4654 is 10820550.

LCM(4650,4654) = 10820550

LCM of 4650 and 4654

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

LCM of:
and

Least Common Multiple of 4650 and 4654

LCM of 4650 and 4654 is 10820550

Least common multiple can be found by multiplying the highest exponent prime factors of 4650 and 4654. First we will calculate the prime factors of 4650 and 4654.

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 4654


2 4654
13 2327
179 179
1

Prime factors of 4654 are 2, 13,179. Prime factorization of 4654 in exponential form is:

4654 = 21×131×1791

Now multiplying the highest exponent prime factors to calculate the LCM of 4650 and 4654.

LCM(4650,4654) = 21×31×52×131×311×1791
LCM(4650,4654) = 10820550

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 4654

List of positive integer factors of 4654 that divides 4654 without a remainder.

1, 2, 13, 26, 179, 358, 2327, 4654

Least Common Multiple of 4650 and 4654 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 4654, than apply into the LCM equation.

GCF(4650,4654) = 2
LCM(4650,4654) = ( 4650 × 4654) / 2
LCM(4650,4654) = 21641100 / 2
LCM(4650,4654) = 10820550

Properties of LCM 4650 and 4654

(i) The LCM of 4654 and 4650 is associative

LCM of 4650 and 4654 = LCM of 4654 and 4650

Related Least Common Multiples of 4650

Related Least Common Multiples of 4654

Frequently Asked Questions on LCM of 4650 and 4654

1. What is the LCM of 4650 and 4654?

Answer: LCM of 4650 and 4654 is 10820550.

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 4654?

Answer: Factors of 4654 are 1, 2, 13, 26, 179, 358, 2327, 4654. There are 8 integers that are factors of 4654. The greatest factor of 4654 is 4654.

4. How to Find the LCM of 4650 and 4654?

Answer:

Least Common Multiple of 4650 and 4654 = 10820550

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 4654

4654 = 2 x 13 x 179

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

LCM = 10820550 = 2 x 3 x 5 x 5 x 13 x 31 x 179

Step 4: Therefore, the least common multiple of 4650 and 4654 is 10820550.