Least Common Multiple of 3948 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 3948 and 3953 the smallest integer that is 15606444 that is divisible by both numbers.

Least Common Multiple (LCM) of 3948 and 3953 is 15606444.

LCM(3948,3953) = 15606444

LCM of 3948 and 3953

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

LCM of:
and

Least Common Multiple of 3948 and 3953

LCM of 3948 and 3953 is 15606444

Least common multiple can be found by multiplying the highest exponent prime factors of 3948 and 3953. First we will calculate the prime factors of 3948 and 3953.

Prime Factorization of 3948


2 3948
2 1974
3 987
7 329
47 47
1

Prime factors of 3948 are 2, 3, 7,47. Prime factorization of 3948 in exponential form is:

3948 = 22×31×71×471

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 3948 and 3953.

LCM(3948,3953) = 22×31×71×471×591×671
LCM(3948,3953) = 15606444

Factors of 3948

List of positive integer factors of 3948 that divides 3948 without a remainder.

1, 2, 3, 4, 6, 7, 12, 14, 21, 28, 42, 47, 84, 94, 141, 188, 282, 329, 564, 658, 987, 1316, 1974, 3948

Factors of 3953

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

1, 59, 67, 3953

Least Common Multiple of 3948 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 3948 and 3953, than apply into the LCM equation.

GCF(3948,3953) = 1
LCM(3948,3953) = ( 3948 × 3953) / 1
LCM(3948,3953) = 15606444 / 1
LCM(3948,3953) = 15606444

Properties of LCM 3948 and 3953

(i) The LCM of 3953 and 3948 is associative

LCM of 3948 and 3953 = LCM of 3953 and 3948

Related Least Common Multiples of 3948

Related Least Common Multiples of 3953

Frequently Asked Questions on LCM of 3948 and 3953

1. What is the LCM of 3948 and 3953?

Answer: LCM of 3948 and 3953 is 15606444.

2. What are the Factors of 3948?

Answer: Factors of 3948 are 1, 2, 3, 4, 6, 7, 12, 14, 21, 28, 42, 47, 84, 94, 141, 188, 282, 329, 564, 658, 987, 1316, 1974, 3948. There are 24 integers that are factors of 3948. The greatest factor of 3948 is 3948.

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 3948 and 3953?

Answer:

Least Common Multiple of 3948 and 3953 = 15606444

Step 1: Find the prime factorization of 3948

3948 = 2 x 2 x 3 x 7 x 47

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 = 15606444 = 2 x 2 x 3 x 7 x 47 x 59 x 67

Step 4: Therefore, the least common multiple of 3948 and 3953 is 15606444.