Least Common Multiple of 6949 and 6954

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 6949 and 6954 the smallest integer that is 48323346 that is divisible by both numbers.

Least Common Multiple (LCM) of 6949 and 6954 is 48323346.

LCM(6949,6954) = 48323346

LCM of 6949 and 6954

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

LCM of:
and

Least Common Multiple of 6949 and 6954

LCM of 6949 and 6954 is 48323346

Least common multiple can be found by multiplying the highest exponent prime factors of 6949 and 6954. First we will calculate the prime factors of 6949 and 6954.

Prime Factorization of 6949


6949 6949
1

Prime factors of 6949 are 6949. Prime factorization of 6949 in exponential form is:

6949 = 69491

Prime Factorization of 6954


2 6954
3 3477
19 1159
61 61
1

Prime factors of 6954 are 2, 3, 19,61. Prime factorization of 6954 in exponential form is:

6954 = 21×31×191×611

Now multiplying the highest exponent prime factors to calculate the LCM of 6949 and 6954.

LCM(6949,6954) = 21×31×191×611×69491
LCM(6949,6954) = 48323346

Factors of 6949

List of positive integer factors of 6949 that divides 6949 without a remainder.

1, 6949

Factors of 6954

List of positive integer factors of 6954 that divides 6954 without a remainder.

1, 2, 3, 6, 19, 38, 57, 61, 114, 122, 183, 366, 1159, 2318, 3477, 6954

Least Common Multiple of 6949 and 6954 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 6949 and 6954, than apply into the LCM equation.

GCF(6949,6954) = 1
LCM(6949,6954) = ( 6949 × 6954) / 1
LCM(6949,6954) = 48323346 / 1
LCM(6949,6954) = 48323346

Properties of LCM 6949 and 6954

(i) The LCM of 6954 and 6949 is associative

LCM of 6949 and 6954 = LCM of 6954 and 6949

Related Least Common Multiples of 6949

Related Least Common Multiples of 6954

Frequently Asked Questions on LCM of 6949 and 6954

1. What is the LCM of 6949 and 6954?

Answer: LCM of 6949 and 6954 is 48323346.

2. What are the Factors of 6949?

Answer: Factors of 6949 are 1, 6949. There are 2 integers that are factors of 6949. The greatest factor of 6949 is 6949.

3. What are the Factors of 6954?

Answer: Factors of 6954 are 1, 2, 3, 6, 19, 38, 57, 61, 114, 122, 183, 366, 1159, 2318, 3477, 6954. There are 16 integers that are factors of 6954. The greatest factor of 6954 is 6954.

4. How to Find the LCM of 6949 and 6954?

Answer:

Least Common Multiple of 6949 and 6954 = 48323346

Step 1: Find the prime factorization of 6949

6949 = 6949

Step 2: Find the prime factorization of 6954

6954 = 2 x 3 x 19 x 61

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

LCM = 48323346 = 2 x 3 x 19 x 61 x 6949

Step 4: Therefore, the least common multiple of 6949 and 6954 is 48323346.