Least Common Multiple of 3946 and 3954

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 3946 and 3954 the smallest integer that is 7801242 that is divisible by both numbers.

Least Common Multiple (LCM) of 3946 and 3954 is 7801242.

LCM(3946,3954) = 7801242

LCM of 3946 and 3954

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

LCM of:
and

Least Common Multiple of 3946 and 3954

LCM of 3946 and 3954 is 7801242

Least common multiple can be found by multiplying the highest exponent prime factors of 3946 and 3954. First we will calculate the prime factors of 3946 and 3954.

Prime Factorization of 3946


2 3946
1973 1973
1

Prime factors of 3946 are 2,1973. Prime factorization of 3946 in exponential form is:

3946 = 21×19731

Prime Factorization of 3954


2 3954
3 1977
659 659
1

Prime factors of 3954 are 2, 3,659. Prime factorization of 3954 in exponential form is:

3954 = 21×31×6591

Now multiplying the highest exponent prime factors to calculate the LCM of 3946 and 3954.

LCM(3946,3954) = 21×31×6591×19731
LCM(3946,3954) = 7801242

Factors of 3946

List of positive integer factors of 3946 that divides 3946 without a remainder.

1, 2, 1973, 3946

Factors of 3954

List of positive integer factors of 3954 that divides 3954 without a remainder.

1, 2, 3, 6, 659, 1318, 1977, 3954

Least Common Multiple of 3946 and 3954 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 3946 and 3954, than apply into the LCM equation.

GCF(3946,3954) = 2
LCM(3946,3954) = ( 3946 × 3954) / 2
LCM(3946,3954) = 15602484 / 2
LCM(3946,3954) = 7801242

Properties of LCM 3946 and 3954

(i) The LCM of 3954 and 3946 is associative

LCM of 3946 and 3954 = LCM of 3954 and 3946

Related Least Common Multiples of 3946

Related Least Common Multiples of 3954

Frequently Asked Questions on LCM of 3946 and 3954

1. What is the LCM of 3946 and 3954?

Answer: LCM of 3946 and 3954 is 7801242.

2. What are the Factors of 3946?

Answer: Factors of 3946 are 1, 2, 1973, 3946. There are 4 integers that are factors of 3946. The greatest factor of 3946 is 3946.

3. What are the Factors of 3954?

Answer: Factors of 3954 are 1, 2, 3, 6, 659, 1318, 1977, 3954. There are 8 integers that are factors of 3954. The greatest factor of 3954 is 3954.

4. How to Find the LCM of 3946 and 3954?

Answer:

Least Common Multiple of 3946 and 3954 = 7801242

Step 1: Find the prime factorization of 3946

3946 = 2 x 1973

Step 2: Find the prime factorization of 3954

3954 = 2 x 3 x 659

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

LCM = 7801242 = 2 x 3 x 659 x 1973

Step 4: Therefore, the least common multiple of 3946 and 3954 is 7801242.