Least Common Multiple of 3950 and 3953

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 3950 and 3953 the smallest integer that is 15614350 that is divisible by both numbers.

Least Common Multiple (LCM) of 3950 and 3953 is 15614350.

LCM(3950,3953) = 15614350

LCM of 3950 and 3953

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

LCM of:
and

Least Common Multiple of 3950 and 3953

LCM of 3950 and 3953 is 15614350

Least common multiple can be found by multiplying the highest exponent prime factors of 3950 and 3953. First we will calculate the prime factors of 3950 and 3953.

Prime Factorization of 3950


2 3950
5 1975
5 395
79 79
1

Prime factors of 3950 are 2, 5,79. Prime factorization of 3950 in exponential form is:

3950 = 21×52×791

Prime Factorization of 3953


59 3953
67 67
1

Prime factors of 3953 are 59,67. Prime factorization of 3953 in exponential form is:

3953 = 591×671

Now multiplying the highest exponent prime factors to calculate the LCM of 3950 and 3953.

LCM(3950,3953) = 21×52×591×671×791
LCM(3950,3953) = 15614350

Factors of 3950

List of positive integer factors of 3950 that divides 3950 without a remainder.

1, 2, 5, 10, 25, 50, 79, 158, 395, 790, 1975, 3950

Factors of 3953

List of positive integer factors of 3953 that divides 3953 without a remainder.

1, 59, 67, 3953

Least Common Multiple of 3950 and 3953 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 3950 and 3953, than apply into the LCM equation.

GCF(3950,3953) = 1
LCM(3950,3953) = ( 3950 × 3953) / 1
LCM(3950,3953) = 15614350 / 1
LCM(3950,3953) = 15614350

Properties of LCM 3950 and 3953

(i) The LCM of 3953 and 3950 is associative

LCM of 3950 and 3953 = LCM of 3953 and 3950

Related Least Common Multiples of 3950

Related Least Common Multiples of 3953

Frequently Asked Questions on LCM of 3950 and 3953

1. What is the LCM of 3950 and 3953?

Answer: LCM of 3950 and 3953 is 15614350.

2. What are the Factors of 3950?

Answer: Factors of 3950 are 1, 2, 5, 10, 25, 50, 79, 158, 395, 790, 1975, 3950. There are 12 integers that are factors of 3950. The greatest factor of 3950 is 3950.

3. What are the Factors of 3953?

Answer: Factors of 3953 are 1, 59, 67, 3953. There are 4 integers that are factors of 3953. The greatest factor of 3953 is 3953.

4. How to Find the LCM of 3950 and 3953?

Answer:

Least Common Multiple of 3950 and 3953 = 15614350

Step 1: Find the prime factorization of 3950

3950 = 2 x 5 x 5 x 79

Step 2: Find the prime factorization of 3953

3953 = 59 x 67

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

LCM = 15614350 = 2 x 5 x 5 x 59 x 67 x 79

Step 4: Therefore, the least common multiple of 3950 and 3953 is 15614350.