Least Common Multiple of 6954 and 6958

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 6954 and 6958 the smallest integer that is 24192966 that is divisible by both numbers.

Least Common Multiple (LCM) of 6954 and 6958 is 24192966.

LCM(6954,6958) = 24192966

LCM of 6954 and 6958

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

LCM of:
and

Least Common Multiple of 6954 and 6958

LCM of 6954 and 6958 is 24192966

Least common multiple can be found by multiplying the highest exponent prime factors of 6954 and 6958. First we will calculate the prime factors of 6954 and 6958.

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

Prime Factorization of 6958


2 6958
7 3479
7 497
71 71
1

Prime factors of 6958 are 2, 7,71. Prime factorization of 6958 in exponential form is:

6958 = 21×72×711

Now multiplying the highest exponent prime factors to calculate the LCM of 6954 and 6958.

LCM(6954,6958) = 21×31×72×191×611×711
LCM(6954,6958) = 24192966

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

Factors of 6958

List of positive integer factors of 6958 that divides 6958 without a remainder.

1, 2, 7, 14, 49, 71, 98, 142, 497, 994, 3479, 6958

Least Common Multiple of 6954 and 6958 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 6954 and 6958, than apply into the LCM equation.

GCF(6954,6958) = 2
LCM(6954,6958) = ( 6954 × 6958) / 2
LCM(6954,6958) = 48385932 / 2
LCM(6954,6958) = 24192966

Properties of LCM 6954 and 6958

(i) The LCM of 6958 and 6954 is associative

LCM of 6954 and 6958 = LCM of 6958 and 6954

Related Least Common Multiples of 6954

Related Least Common Multiples of 6958

Frequently Asked Questions on LCM of 6954 and 6958

1. What is the LCM of 6954 and 6958?

Answer: LCM of 6954 and 6958 is 24192966.

2. 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.

3. What are the Factors of 6958?

Answer: Factors of 6958 are 1, 2, 7, 14, 49, 71, 98, 142, 497, 994, 3479, 6958. There are 12 integers that are factors of 6958. The greatest factor of 6958 is 6958.

4. How to Find the LCM of 6954 and 6958?

Answer:

Least Common Multiple of 6954 and 6958 = 24192966

Step 1: Find the prime factorization of 6954

6954 = 2 x 3 x 19 x 61

Step 2: Find the prime factorization of 6958

6958 = 2 x 7 x 7 x 71

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

LCM = 24192966 = 2 x 3 x 7 x 7 x 19 x 61 x 71

Step 4: Therefore, the least common multiple of 6954 and 6958 is 24192966.