Least Common Multiple of 3949 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 3949 and 3954 the smallest integer that is 15614346 that is divisible by both numbers.

Least Common Multiple (LCM) of 3949 and 3954 is 15614346.

LCM(3949,3954) = 15614346

LCM of 3949 and 3954

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

LCM of:
and

Least Common Multiple of 3949 and 3954

LCM of 3949 and 3954 is 15614346

Least common multiple can be found by multiplying the highest exponent prime factors of 3949 and 3954. First we will calculate the prime factors of 3949 and 3954.

Prime Factorization of 3949


11 3949
359 359
1

Prime factors of 3949 are 11,359. Prime factorization of 3949 in exponential form is:

3949 = 111×3591

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 3949 and 3954.

LCM(3949,3954) = 21×31×111×3591×6591
LCM(3949,3954) = 15614346

Factors of 3949

List of positive integer factors of 3949 that divides 3949 without a remainder.

1, 11, 359, 3949

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 3949 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 3949 and 3954, than apply into the LCM equation.

GCF(3949,3954) = 1
LCM(3949,3954) = ( 3949 × 3954) / 1
LCM(3949,3954) = 15614346 / 1
LCM(3949,3954) = 15614346

Properties of LCM 3949 and 3954

(i) The LCM of 3954 and 3949 is associative

LCM of 3949 and 3954 = LCM of 3954 and 3949

Related Least Common Multiples of 3949

Related Least Common Multiples of 3954

Frequently Asked Questions on LCM of 3949 and 3954

1. What is the LCM of 3949 and 3954?

Answer: LCM of 3949 and 3954 is 15614346.

2. What are the Factors of 3949?

Answer: Factors of 3949 are 1, 11, 359, 3949. There are 4 integers that are factors of 3949. The greatest factor of 3949 is 3949.

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 3949 and 3954?

Answer:

Least Common Multiple of 3949 and 3954 = 15614346

Step 1: Find the prime factorization of 3949

3949 = 11 x 359

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 = 15614346 = 2 x 3 x 11 x 359 x 659

Step 4: Therefore, the least common multiple of 3949 and 3954 is 15614346.