Least Common Multiple of 8350 and 8357

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 8350 and 8357 the smallest integer that is 69780950 that is divisible by both numbers.

Least Common Multiple (LCM) of 8350 and 8357 is 69780950.

LCM(8350,8357) = 69780950

LCM of 8350 and 8357

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

LCM of:
and

Least Common Multiple of 8350 and 8357

LCM of 8350 and 8357 is 69780950

Least common multiple can be found by multiplying the highest exponent prime factors of 8350 and 8357. First we will calculate the prime factors of 8350 and 8357.

Prime Factorization of 8350


2 8350
5 4175
5 835
167 167
1

Prime factors of 8350 are 2, 5,167. Prime factorization of 8350 in exponential form is:

8350 = 21×52×1671

Prime Factorization of 8357


61 8357
137 137
1

Prime factors of 8357 are 61,137. Prime factorization of 8357 in exponential form is:

8357 = 611×1371

Now multiplying the highest exponent prime factors to calculate the LCM of 8350 and 8357.

LCM(8350,8357) = 21×52×611×1371×1671
LCM(8350,8357) = 69780950

Factors of 8350

List of positive integer factors of 8350 that divides 8350 without a remainder.

1, 2, 5, 10, 25, 50, 167, 334, 835, 1670, 4175, 8350

Factors of 8357

List of positive integer factors of 8357 that divides 8357 without a remainder.

1, 61, 137, 8357

Least Common Multiple of 8350 and 8357 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 8350 and 8357, than apply into the LCM equation.

GCF(8350,8357) = 1
LCM(8350,8357) = ( 8350 × 8357) / 1
LCM(8350,8357) = 69780950 / 1
LCM(8350,8357) = 69780950

Properties of LCM 8350 and 8357

(i) The LCM of 8357 and 8350 is associative

LCM of 8350 and 8357 = LCM of 8357 and 8350

Related Least Common Multiples of 8350

Related Least Common Multiples of 8357

Frequently Asked Questions on LCM of 8350 and 8357

1. What is the LCM of 8350 and 8357?

Answer: LCM of 8350 and 8357 is 69780950.

2. What are the Factors of 8350?

Answer: Factors of 8350 are 1, 2, 5, 10, 25, 50, 167, 334, 835, 1670, 4175, 8350. There are 12 integers that are factors of 8350. The greatest factor of 8350 is 8350.

3. What are the Factors of 8357?

Answer: Factors of 8357 are 1, 61, 137, 8357. There are 4 integers that are factors of 8357. The greatest factor of 8357 is 8357.

4. How to Find the LCM of 8350 and 8357?

Answer:

Least Common Multiple of 8350 and 8357 = 69780950

Step 1: Find the prime factorization of 8350

8350 = 2 x 5 x 5 x 167

Step 2: Find the prime factorization of 8357

8357 = 61 x 137

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

LCM = 69780950 = 2 x 5 x 5 x 61 x 137 x 167

Step 4: Therefore, the least common multiple of 8350 and 8357 is 69780950.