Least Common Multiple of 4825 and 4830

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 4825 and 4830 the smallest integer that is 4660950 that is divisible by both numbers.

Least Common Multiple (LCM) of 4825 and 4830 is 4660950.

LCM(4825,4830) = 4660950

LCM of 4825 and 4830

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

LCM of:
and

Least Common Multiple of 4825 and 4830

LCM of 4825 and 4830 is 4660950

Least common multiple can be found by multiplying the highest exponent prime factors of 4825 and 4830. First we will calculate the prime factors of 4825 and 4830.

Prime Factorization of 4825


5 4825
5 965
193 193
1

Prime factors of 4825 are 5,193. Prime factorization of 4825 in exponential form is:

4825 = 52×1931

Prime Factorization of 4830


2 4830
3 2415
5 805
7 161
23 23
1

Prime factors of 4830 are 2, 3, 5, 7,23. Prime factorization of 4830 in exponential form is:

4830 = 21×31×51×71×231

Now multiplying the highest exponent prime factors to calculate the LCM of 4825 and 4830.

LCM(4825,4830) = 21×31×52×71×231×1931
LCM(4825,4830) = 4660950

Factors of 4825

List of positive integer factors of 4825 that divides 4825 without a remainder.

1, 5, 25, 193, 965, 4825

Factors of 4830

List of positive integer factors of 4830 that divides 4830 without a remainder.

1, 2, 3, 5, 6, 7, 10, 14, 15, 21, 23, 30, 35, 42, 46, 69, 70, 105, 115, 138, 161, 210, 230, 322, 345, 483, 690, 805, 966, 1610, 2415, 4830

Least Common Multiple of 4825 and 4830 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 4825 and 4830, than apply into the LCM equation.

GCF(4825,4830) = 5
LCM(4825,4830) = ( 4825 × 4830) / 5
LCM(4825,4830) = 23304750 / 5
LCM(4825,4830) = 4660950

Properties of LCM 4825 and 4830

(i) The LCM of 4830 and 4825 is associative

LCM of 4825 and 4830 = LCM of 4830 and 4825

Related Least Common Multiples of 4825

Related Least Common Multiples of 4830

Frequently Asked Questions on LCM of 4825 and 4830

1. What is the LCM of 4825 and 4830?

Answer: LCM of 4825 and 4830 is 4660950.

2. What are the Factors of 4825?

Answer: Factors of 4825 are 1, 5, 25, 193, 965, 4825. There are 6 integers that are factors of 4825. The greatest factor of 4825 is 4825.

3. What are the Factors of 4830?

Answer: Factors of 4830 are 1, 2, 3, 5, 6, 7, 10, 14, 15, 21, 23, 30, 35, 42, 46, 69, 70, 105, 115, 138, 161, 210, 230, 322, 345, 483, 690, 805, 966, 1610, 2415, 4830. There are 32 integers that are factors of 4830. The greatest factor of 4830 is 4830.

4. How to Find the LCM of 4825 and 4830?

Answer:

Least Common Multiple of 4825 and 4830 = 4660950

Step 1: Find the prime factorization of 4825

4825 = 5 x 5 x 193

Step 2: Find the prime factorization of 4830

4830 = 2 x 3 x 5 x 7 x 23

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

LCM = 4660950 = 2 x 3 x 5 x 5 x 7 x 23 x 193

Step 4: Therefore, the least common multiple of 4825 and 4830 is 4660950.