Least Common Multiple of 4954 and 4958

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 4954 and 4958 the smallest integer that is 12280966 that is divisible by both numbers.

Least Common Multiple (LCM) of 4954 and 4958 is 12280966.

LCM(4954,4958) = 12280966

LCM of 4954 and 4958

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

LCM of:
and

Least Common Multiple of 4954 and 4958

LCM of 4954 and 4958 is 12280966

Least common multiple can be found by multiplying the highest exponent prime factors of 4954 and 4958. First we will calculate the prime factors of 4954 and 4958.

Prime Factorization of 4954


2 4954
2477 2477
1

Prime factors of 4954 are 2,2477. Prime factorization of 4954 in exponential form is:

4954 = 21×24771

Prime Factorization of 4958


2 4958
37 2479
67 67
1

Prime factors of 4958 are 2, 37,67. Prime factorization of 4958 in exponential form is:

4958 = 21×371×671

Now multiplying the highest exponent prime factors to calculate the LCM of 4954 and 4958.

LCM(4954,4958) = 21×371×671×24771
LCM(4954,4958) = 12280966

Factors of 4954

List of positive integer factors of 4954 that divides 4954 without a remainder.

1, 2, 2477, 4954

Factors of 4958

List of positive integer factors of 4958 that divides 4958 without a remainder.

1, 2, 37, 67, 74, 134, 2479, 4958

Least Common Multiple of 4954 and 4958 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 4954 and 4958, than apply into the LCM equation.

GCF(4954,4958) = 2
LCM(4954,4958) = ( 4954 × 4958) / 2
LCM(4954,4958) = 24561932 / 2
LCM(4954,4958) = 12280966

Properties of LCM 4954 and 4958

(i) The LCM of 4958 and 4954 is associative

LCM of 4954 and 4958 = LCM of 4958 and 4954

Related Least Common Multiples of 4954

Related Least Common Multiples of 4958

Frequently Asked Questions on LCM of 4954 and 4958

1. What is the LCM of 4954 and 4958?

Answer: LCM of 4954 and 4958 is 12280966.

2. What are the Factors of 4954?

Answer: Factors of 4954 are 1, 2, 2477, 4954. There are 4 integers that are factors of 4954. The greatest factor of 4954 is 4954.

3. What are the Factors of 4958?

Answer: Factors of 4958 are 1, 2, 37, 67, 74, 134, 2479, 4958. There are 8 integers that are factors of 4958. The greatest factor of 4958 is 4958.

4. How to Find the LCM of 4954 and 4958?

Answer:

Least Common Multiple of 4954 and 4958 = 12280966

Step 1: Find the prime factorization of 4954

4954 = 2 x 2477

Step 2: Find the prime factorization of 4958

4958 = 2 x 37 x 67

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

LCM = 12280966 = 2 x 37 x 67 x 2477

Step 4: Therefore, the least common multiple of 4954 and 4958 is 12280966.