Least Common Multiple of 3948 and 3955

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 3955 the smallest integer that is 2230620 that is divisible by both numbers.

Least Common Multiple (LCM) of 3948 and 3955 is 2230620.

LCM(3948,3955) = 2230620

LCM of 3948 and 3955

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

LCM of:
and

Least Common Multiple of 3948 and 3955

LCM of 3948 and 3955 is 2230620

Least common multiple can be found by multiplying the highest exponent prime factors of 3948 and 3955. First we will calculate the prime factors of 3948 and 3955.

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 3955


5 3955
7 791
113 113
1

Prime factors of 3955 are 5, 7,113. Prime factorization of 3955 in exponential form is:

3955 = 51×71×1131

Now multiplying the highest exponent prime factors to calculate the LCM of 3948 and 3955.

LCM(3948,3955) = 22×31×51×71×471×1131
LCM(3948,3955) = 2230620

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 3955

List of positive integer factors of 3955 that divides 3955 without a remainder.

1, 5, 7, 35, 113, 565, 791, 3955

Least Common Multiple of 3948 and 3955 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 3955, than apply into the LCM equation.

GCF(3948,3955) = 7
LCM(3948,3955) = ( 3948 × 3955) / 7
LCM(3948,3955) = 15614340 / 7
LCM(3948,3955) = 2230620

Properties of LCM 3948 and 3955

(i) The LCM of 3955 and 3948 is associative

LCM of 3948 and 3955 = LCM of 3955 and 3948

Related Least Common Multiples of 3948

Related Least Common Multiples of 3955

Frequently Asked Questions on LCM of 3948 and 3955

1. What is the LCM of 3948 and 3955?

Answer: LCM of 3948 and 3955 is 2230620.

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 3955?

Answer: Factors of 3955 are 1, 5, 7, 35, 113, 565, 791, 3955. There are 8 integers that are factors of 3955. The greatest factor of 3955 is 3955.

4. How to Find the LCM of 3948 and 3955?

Answer:

Least Common Multiple of 3948 and 3955 = 2230620

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 3955

3955 = 5 x 7 x 113

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

LCM = 2230620 = 2 x 2 x 3 x 5 x 7 x 47 x 113

Step 4: Therefore, the least common multiple of 3948 and 3955 is 2230620.