Least Common Multiple of 3951 and 3958

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 3951 and 3958 the smallest integer that is 15638058 that is divisible by both numbers.

Least Common Multiple (LCM) of 3951 and 3958 is 15638058.

LCM(3951,3958) = 15638058

LCM of 3951 and 3958

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

LCM of:
and

Least Common Multiple of 3951 and 3958

LCM of 3951 and 3958 is 15638058

Least common multiple can be found by multiplying the highest exponent prime factors of 3951 and 3958. First we will calculate the prime factors of 3951 and 3958.

Prime Factorization of 3951


3 3951
3 1317
439 439
1

Prime factors of 3951 are 3,439. Prime factorization of 3951 in exponential form is:

3951 = 32×4391

Prime Factorization of 3958


2 3958
1979 1979
1

Prime factors of 3958 are 2,1979. Prime factorization of 3958 in exponential form is:

3958 = 21×19791

Now multiplying the highest exponent prime factors to calculate the LCM of 3951 and 3958.

LCM(3951,3958) = 21×32×4391×19791
LCM(3951,3958) = 15638058

Factors of 3951

List of positive integer factors of 3951 that divides 3951 without a remainder.

1, 3, 9, 439, 1317, 3951

Factors of 3958

List of positive integer factors of 3958 that divides 3958 without a remainder.

1, 2, 1979, 3958

Least Common Multiple of 3951 and 3958 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 3951 and 3958, than apply into the LCM equation.

GCF(3951,3958) = 1
LCM(3951,3958) = ( 3951 × 3958) / 1
LCM(3951,3958) = 15638058 / 1
LCM(3951,3958) = 15638058

Properties of LCM 3951 and 3958

(i) The LCM of 3958 and 3951 is associative

LCM of 3951 and 3958 = LCM of 3958 and 3951

Related Least Common Multiples of 3951

Related Least Common Multiples of 3958

Frequently Asked Questions on LCM of 3951 and 3958

1. What is the LCM of 3951 and 3958?

Answer: LCM of 3951 and 3958 is 15638058.

2. What are the Factors of 3951?

Answer: Factors of 3951 are 1, 3, 9, 439, 1317, 3951. There are 6 integers that are factors of 3951. The greatest factor of 3951 is 3951.

3. What are the Factors of 3958?

Answer: Factors of 3958 are 1, 2, 1979, 3958. There are 4 integers that are factors of 3958. The greatest factor of 3958 is 3958.

4. How to Find the LCM of 3951 and 3958?

Answer:

Least Common Multiple of 3951 and 3958 = 15638058

Step 1: Find the prime factorization of 3951

3951 = 3 x 3 x 439

Step 2: Find the prime factorization of 3958

3958 = 2 x 1979

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

LCM = 15638058 = 2 x 3 x 3 x 439 x 1979

Step 4: Therefore, the least common multiple of 3951 and 3958 is 15638058.