Least Common Multiple of 7850 and 7854

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 7850 and 7854 the smallest integer that is 30826950 that is divisible by both numbers.

Least Common Multiple (LCM) of 7850 and 7854 is 30826950.

LCM(7850,7854) = 30826950

LCM of 7850 and 7854

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

LCM of:
and

Least Common Multiple of 7850 and 7854

LCM of 7850 and 7854 is 30826950

Least common multiple can be found by multiplying the highest exponent prime factors of 7850 and 7854. First we will calculate the prime factors of 7850 and 7854.

Prime Factorization of 7850


2 7850
5 3925
5 785
157 157
1

Prime factors of 7850 are 2, 5,157. Prime factorization of 7850 in exponential form is:

7850 = 21×52×1571

Prime Factorization of 7854


2 7854
3 3927
7 1309
11 187
17 17
1

Prime factors of 7854 are 2, 3, 7, 11,17. Prime factorization of 7854 in exponential form is:

7854 = 21×31×71×111×171

Now multiplying the highest exponent prime factors to calculate the LCM of 7850 and 7854.

LCM(7850,7854) = 21×31×52×71×111×171×1571
LCM(7850,7854) = 30826950

Factors of 7850

List of positive integer factors of 7850 that divides 7850 without a remainder.

1, 2, 5, 10, 25, 50, 157, 314, 785, 1570, 3925, 7850

Factors of 7854

List of positive integer factors of 7854 that divides 7854 without a remainder.

1, 2, 3, 6, 7, 11, 14, 17, 21, 22, 33, 34, 42, 51, 66, 77, 102, 119, 154, 187, 231, 238, 357, 374, 462, 561, 714, 1122, 1309, 2618, 3927, 7854

Least Common Multiple of 7850 and 7854 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 7850 and 7854, than apply into the LCM equation.

GCF(7850,7854) = 2
LCM(7850,7854) = ( 7850 × 7854) / 2
LCM(7850,7854) = 61653900 / 2
LCM(7850,7854) = 30826950

Properties of LCM 7850 and 7854

(i) The LCM of 7854 and 7850 is associative

LCM of 7850 and 7854 = LCM of 7854 and 7850

Related Least Common Multiples of 7850

Related Least Common Multiples of 7854

Frequently Asked Questions on LCM of 7850 and 7854

1. What is the LCM of 7850 and 7854?

Answer: LCM of 7850 and 7854 is 30826950.

2. What are the Factors of 7850?

Answer: Factors of 7850 are 1, 2, 5, 10, 25, 50, 157, 314, 785, 1570, 3925, 7850. There are 12 integers that are factors of 7850. The greatest factor of 7850 is 7850.

3. What are the Factors of 7854?

Answer: Factors of 7854 are 1, 2, 3, 6, 7, 11, 14, 17, 21, 22, 33, 34, 42, 51, 66, 77, 102, 119, 154, 187, 231, 238, 357, 374, 462, 561, 714, 1122, 1309, 2618, 3927, 7854. There are 32 integers that are factors of 7854. The greatest factor of 7854 is 7854.

4. How to Find the LCM of 7850 and 7854?

Answer:

Least Common Multiple of 7850 and 7854 = 30826950

Step 1: Find the prime factorization of 7850

7850 = 2 x 5 x 5 x 157

Step 2: Find the prime factorization of 7854

7854 = 2 x 3 x 7 x 11 x 17

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

LCM = 30826950 = 2 x 3 x 5 x 5 x 7 x 11 x 17 x 157

Step 4: Therefore, the least common multiple of 7850 and 7854 is 30826950.