Least Common Multiple of 4826 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 4826 and 4830 the smallest integer that is 11654790 that is divisible by both numbers.

Least Common Multiple (LCM) of 4826 and 4830 is 11654790.

LCM(4826,4830) = 11654790

LCM of 4826 and 4830

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

LCM of:
and

Least Common Multiple of 4826 and 4830

LCM of 4826 and 4830 is 11654790

Least common multiple can be found by multiplying the highest exponent prime factors of 4826 and 4830. First we will calculate the prime factors of 4826 and 4830.

Prime Factorization of 4826


2 4826
19 2413
127 127
1

Prime factors of 4826 are 2, 19,127. Prime factorization of 4826 in exponential form is:

4826 = 21×191×1271

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 4826 and 4830.

LCM(4826,4830) = 21×31×51×71×191×231×1271
LCM(4826,4830) = 11654790

Factors of 4826

List of positive integer factors of 4826 that divides 4826 without a remainder.

1, 2, 19, 38, 127, 254, 2413, 4826

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 4826 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 4826 and 4830, than apply into the LCM equation.

GCF(4826,4830) = 2
LCM(4826,4830) = ( 4826 × 4830) / 2
LCM(4826,4830) = 23309580 / 2
LCM(4826,4830) = 11654790

Properties of LCM 4826 and 4830

(i) The LCM of 4830 and 4826 is associative

LCM of 4826 and 4830 = LCM of 4830 and 4826

Related Least Common Multiples of 4826

Related Least Common Multiples of 4830

Frequently Asked Questions on LCM of 4826 and 4830

1. What is the LCM of 4826 and 4830?

Answer: LCM of 4826 and 4830 is 11654790.

2. What are the Factors of 4826?

Answer: Factors of 4826 are 1, 2, 19, 38, 127, 254, 2413, 4826. There are 8 integers that are factors of 4826. The greatest factor of 4826 is 4826.

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 4826 and 4830?

Answer:

Least Common Multiple of 4826 and 4830 = 11654790

Step 1: Find the prime factorization of 4826

4826 = 2 x 19 x 127

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 = 11654790 = 2 x 3 x 5 x 7 x 19 x 23 x 127

Step 4: Therefore, the least common multiple of 4826 and 4830 is 11654790.