Least Common Multiple of 4620 and 4625

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 4620 and 4625 the smallest integer that is 4273500 that is divisible by both numbers.

Least Common Multiple (LCM) of 4620 and 4625 is 4273500.

LCM(4620,4625) = 4273500

LCM of 4620 and 4625

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

LCM of:
and

Least Common Multiple of 4620 and 4625

LCM of 4620 and 4625 is 4273500

Least common multiple can be found by multiplying the highest exponent prime factors of 4620 and 4625. First we will calculate the prime factors of 4620 and 4625.

Prime Factorization of 4620


2 4620
2 2310
3 1155
5 385
7 77
11 11
1

Prime factors of 4620 are 2, 3, 5, 7,11. Prime factorization of 4620 in exponential form is:

4620 = 22×31×51×71×111

Prime Factorization of 4625


5 4625
5 925
5 185
37 37
1

Prime factors of 4625 are 5,37. Prime factorization of 4625 in exponential form is:

4625 = 53×371

Now multiplying the highest exponent prime factors to calculate the LCM of 4620 and 4625.

LCM(4620,4625) = 22×31×53×71×111×371
LCM(4620,4625) = 4273500

Factors of 4620

List of positive integer factors of 4620 that divides 4620 without a remainder.

1, 2, 3, 4, 5, 6, 7, 10, 11, 12, 14, 15, 20, 21, 22, 28, 30, 33, 35, 42, 44, 55, 60, 66, 70, 77, 84, 105, 110, 132, 140, 154, 165, 210, 220, 231, 308, 330, 385, 420, 462, 660, 770, 924, 1155, 1540, 2310, 4620

Factors of 4625

List of positive integer factors of 4625 that divides 4625 without a remainder.

1, 5, 25, 37, 125, 185, 925, 4625

Least Common Multiple of 4620 and 4625 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 4620 and 4625, than apply into the LCM equation.

GCF(4620,4625) = 5
LCM(4620,4625) = ( 4620 × 4625) / 5
LCM(4620,4625) = 21367500 / 5
LCM(4620,4625) = 4273500

Properties of LCM 4620 and 4625

(i) The LCM of 4625 and 4620 is associative

LCM of 4620 and 4625 = LCM of 4625 and 4620

Related Least Common Multiples of 4620

Related Least Common Multiples of 4625

Frequently Asked Questions on LCM of 4620 and 4625

1. What is the LCM of 4620 and 4625?

Answer: LCM of 4620 and 4625 is 4273500.

2. What are the Factors of 4620?

Answer: Factors of 4620 are 1, 2, 3, 4, 5, 6, 7, 10, 11, 12, 14, 15, 20, 21, 22, 28, 30, 33, 35, 42, 44, 55, 60, 66, 70, 77, 84, 105, 110, 132, 140, 154, 165, 210, 220, 231, 308, 330, 385, 420, 462, 660, 770, 924, 1155, 1540, 2310, 4620. There are 48 integers that are factors of 4620. The greatest factor of 4620 is 4620.

3. What are the Factors of 4625?

Answer: Factors of 4625 are 1, 5, 25, 37, 125, 185, 925, 4625. There are 8 integers that are factors of 4625. The greatest factor of 4625 is 4625.

4. How to Find the LCM of 4620 and 4625?

Answer:

Least Common Multiple of 4620 and 4625 = 4273500

Step 1: Find the prime factorization of 4620

4620 = 2 x 2 x 3 x 5 x 7 x 11

Step 2: Find the prime factorization of 4625

4625 = 5 x 5 x 5 x 37

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

LCM = 4273500 = 2 x 2 x 3 x 5 x 5 x 5 x 7 x 11 x 37

Step 4: Therefore, the least common multiple of 4620 and 4625 is 4273500.