Least Common Multiple of 4949 and 4954

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 4949 and 4954 the smallest integer that is 24517346 that is divisible by both numbers.

Least Common Multiple (LCM) of 4949 and 4954 is 24517346.

LCM(4949,4954) = 24517346

LCM of 4949 and 4954

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

LCM of:
and

Least Common Multiple of 4949 and 4954

LCM of 4949 and 4954 is 24517346

Least common multiple can be found by multiplying the highest exponent prime factors of 4949 and 4954. First we will calculate the prime factors of 4949 and 4954.

Prime Factorization of 4949


7 4949
7 707
101 101
1

Prime factors of 4949 are 7,101. Prime factorization of 4949 in exponential form is:

4949 = 72×1011

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

Now multiplying the highest exponent prime factors to calculate the LCM of 4949 and 4954.

LCM(4949,4954) = 21×72×1011×24771
LCM(4949,4954) = 24517346

Factors of 4949

List of positive integer factors of 4949 that divides 4949 without a remainder.

1, 7, 49, 101, 707, 4949

Factors of 4954

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

1, 2, 2477, 4954

Least Common Multiple of 4949 and 4954 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 4949 and 4954, than apply into the LCM equation.

GCF(4949,4954) = 1
LCM(4949,4954) = ( 4949 × 4954) / 1
LCM(4949,4954) = 24517346 / 1
LCM(4949,4954) = 24517346

Properties of LCM 4949 and 4954

(i) The LCM of 4954 and 4949 is associative

LCM of 4949 and 4954 = LCM of 4954 and 4949

Related Least Common Multiples of 4949

Related Least Common Multiples of 4954

Frequently Asked Questions on LCM of 4949 and 4954

1. What is the LCM of 4949 and 4954?

Answer: LCM of 4949 and 4954 is 24517346.

2. What are the Factors of 4949?

Answer: Factors of 4949 are 1, 7, 49, 101, 707, 4949. There are 6 integers that are factors of 4949. The greatest factor of 4949 is 4949.

3. 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.

4. How to Find the LCM of 4949 and 4954?

Answer:

Least Common Multiple of 4949 and 4954 = 24517346

Step 1: Find the prime factorization of 4949

4949 = 7 x 7 x 101

Step 2: Find the prime factorization of 4954

4954 = 2 x 2477

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

LCM = 24517346 = 2 x 7 x 7 x 101 x 2477

Step 4: Therefore, the least common multiple of 4949 and 4954 is 24517346.