Least Common Multiple of 3948 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 3948 and 3954 the smallest integer that is 2601732 that is divisible by both numbers.

Least Common Multiple (LCM) of 3948 and 3954 is 2601732.

LCM(3948,3954) = 2601732

LCM of 3948 and 3954

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

LCM of:
and

Least Common Multiple of 3948 and 3954

LCM of 3948 and 3954 is 2601732

Least common multiple can be found by multiplying the highest exponent prime factors of 3948 and 3954. First we will calculate the prime factors of 3948 and 3954.

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 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 3948 and 3954.

LCM(3948,3954) = 22×31×71×471×6591
LCM(3948,3954) = 2601732

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 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 3948 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 3948 and 3954, than apply into the LCM equation.

GCF(3948,3954) = 6
LCM(3948,3954) = ( 3948 × 3954) / 6
LCM(3948,3954) = 15610392 / 6
LCM(3948,3954) = 2601732

Properties of LCM 3948 and 3954

(i) The LCM of 3954 and 3948 is associative

LCM of 3948 and 3954 = LCM of 3954 and 3948

Related Least Common Multiples of 3948

Related Least Common Multiples of 3954

Frequently Asked Questions on LCM of 3948 and 3954

1. What is the LCM of 3948 and 3954?

Answer: LCM of 3948 and 3954 is 2601732.

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 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 3948 and 3954?

Answer:

Least Common Multiple of 3948 and 3954 = 2601732

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 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 = 2601732 = 2 x 2 x 3 x 7 x 47 x 659

Step 4: Therefore, the least common multiple of 3948 and 3954 is 2601732.