Least Common Multiple of 4951 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 4951 and 4958 the smallest integer that is 24547058 that is divisible by both numbers.

Least Common Multiple (LCM) of 4951 and 4958 is 24547058.

LCM(4951,4958) = 24547058

LCM of 4951 and 4958

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

LCM of:
and

Least Common Multiple of 4951 and 4958

LCM of 4951 and 4958 is 24547058

Least common multiple can be found by multiplying the highest exponent prime factors of 4951 and 4958. First we will calculate the prime factors of 4951 and 4958.

Prime Factorization of 4951


4951 4951
1

Prime factors of 4951 are 4951. Prime factorization of 4951 in exponential form is:

4951 = 49511

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 4951 and 4958.

LCM(4951,4958) = 21×371×671×49511
LCM(4951,4958) = 24547058

Factors of 4951

List of positive integer factors of 4951 that divides 4951 without a remainder.

1, 4951

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 4951 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 4951 and 4958, than apply into the LCM equation.

GCF(4951,4958) = 1
LCM(4951,4958) = ( 4951 × 4958) / 1
LCM(4951,4958) = 24547058 / 1
LCM(4951,4958) = 24547058

Properties of LCM 4951 and 4958

(i) The LCM of 4958 and 4951 is associative

LCM of 4951 and 4958 = LCM of 4958 and 4951

Related Least Common Multiples of 4951

Related Least Common Multiples of 4958

Frequently Asked Questions on LCM of 4951 and 4958

1. What is the LCM of 4951 and 4958?

Answer: LCM of 4951 and 4958 is 24547058.

2. What are the Factors of 4951?

Answer: Factors of 4951 are 1, 4951. There are 2 integers that are factors of 4951. The greatest factor of 4951 is 4951.

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 4951 and 4958?

Answer:

Least Common Multiple of 4951 and 4958 = 24547058

Step 1: Find the prime factorization of 4951

4951 = 4951

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 = 24547058 = 2 x 37 x 67 x 4951

Step 4: Therefore, the least common multiple of 4951 and 4958 is 24547058.