Least Common Multiple of 4650 and 4657

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 4657 the smallest integer that is 21655050 that is divisible by both numbers.

Least Common Multiple (LCM) of 4650 and 4657 is 21655050.

LCM(4650,4657) = 21655050

LCM of 4650 and 4657

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

LCM of:
and

Least Common Multiple of 4650 and 4657

LCM of 4650 and 4657 is 21655050

Least common multiple can be found by multiplying the highest exponent prime factors of 4650 and 4657. First we will calculate the prime factors of 4650 and 4657.

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 4657


4657 4657
1

Prime factors of 4657 are 4657. Prime factorization of 4657 in exponential form is:

4657 = 46571

Now multiplying the highest exponent prime factors to calculate the LCM of 4650 and 4657.

LCM(4650,4657) = 21×31×52×311×46571
LCM(4650,4657) = 21655050

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 4657

List of positive integer factors of 4657 that divides 4657 without a remainder.

1, 4657

Least Common Multiple of 4650 and 4657 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 4657, than apply into the LCM equation.

GCF(4650,4657) = 1
LCM(4650,4657) = ( 4650 × 4657) / 1
LCM(4650,4657) = 21655050 / 1
LCM(4650,4657) = 21655050

Properties of LCM 4650 and 4657

(i) The LCM of 4657 and 4650 is associative

LCM of 4650 and 4657 = LCM of 4657 and 4650

Related Least Common Multiples of 4650

Related Least Common Multiples of 4657

Frequently Asked Questions on LCM of 4650 and 4657

1. What is the LCM of 4650 and 4657?

Answer: LCM of 4650 and 4657 is 21655050.

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 4657?

Answer: Factors of 4657 are 1, 4657. There are 2 integers that are factors of 4657. The greatest factor of 4657 is 4657.

4. How to Find the LCM of 4650 and 4657?

Answer:

Least Common Multiple of 4650 and 4657 = 21655050

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 4657

4657 = 4657

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

LCM = 21655050 = 2 x 3 x 5 x 5 x 31 x 4657

Step 4: Therefore, the least common multiple of 4650 and 4657 is 21655050.