Least Common Multiple of 4948 and 4950

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 4948 and 4950 the smallest integer that is 12246300 that is divisible by both numbers.

Least Common Multiple (LCM) of 4948 and 4950 is 12246300.

LCM(4948,4950) = 12246300

LCM of 4948 and 4950

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

LCM of:
and

Least Common Multiple of 4948 and 4950

LCM of 4948 and 4950 is 12246300

Least common multiple can be found by multiplying the highest exponent prime factors of 4948 and 4950. First we will calculate the prime factors of 4948 and 4950.

Prime Factorization of 4948


2 4948
2 2474
1237 1237
1

Prime factors of 4948 are 2,1237. Prime factorization of 4948 in exponential form is:

4948 = 22×12371

Prime Factorization of 4950


2 4950
3 2475
3 825
5 275
5 55
11 11
1

Prime factors of 4950 are 2, 3, 5,11. Prime factorization of 4950 in exponential form is:

4950 = 21×32×52×111

Now multiplying the highest exponent prime factors to calculate the LCM of 4948 and 4950.

LCM(4948,4950) = 22×32×52×111×12371
LCM(4948,4950) = 12246300

Factors of 4948

List of positive integer factors of 4948 that divides 4948 without a remainder.

1, 2, 4, 1237, 2474, 4948

Factors of 4950

List of positive integer factors of 4950 that divides 4950 without a remainder.

1, 2, 3, 5, 6, 9, 10, 11, 15, 18, 22, 25, 30, 33, 45, 50, 55, 66, 75, 90, 99, 110, 150, 165, 198, 225, 275, 330, 450, 495, 550, 825, 990, 1650, 2475, 4950

Least Common Multiple of 4948 and 4950 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 4948 and 4950, than apply into the LCM equation.

GCF(4948,4950) = 2
LCM(4948,4950) = ( 4948 × 4950) / 2
LCM(4948,4950) = 24492600 / 2
LCM(4948,4950) = 12246300

Properties of LCM 4948 and 4950

(i) The LCM of 4950 and 4948 is associative

LCM of 4948 and 4950 = LCM of 4950 and 4948

Related Least Common Multiples of 4948

Related Least Common Multiples of 4950

Frequently Asked Questions on LCM of 4948 and 4950

1. What is the LCM of 4948 and 4950?

Answer: LCM of 4948 and 4950 is 12246300.

2. What are the Factors of 4948?

Answer: Factors of 4948 are 1, 2, 4, 1237, 2474, 4948. There are 6 integers that are factors of 4948. The greatest factor of 4948 is 4948.

3. What are the Factors of 4950?

Answer: Factors of 4950 are 1, 2, 3, 5, 6, 9, 10, 11, 15, 18, 22, 25, 30, 33, 45, 50, 55, 66, 75, 90, 99, 110, 150, 165, 198, 225, 275, 330, 450, 495, 550, 825, 990, 1650, 2475, 4950. There are 36 integers that are factors of 4950. The greatest factor of 4950 is 4950.

4. How to Find the LCM of 4948 and 4950?

Answer:

Least Common Multiple of 4948 and 4950 = 12246300

Step 1: Find the prime factorization of 4948

4948 = 2 x 2 x 1237

Step 2: Find the prime factorization of 4950

4950 = 2 x 3 x 3 x 5 x 5 x 11

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

LCM = 12246300 = 2 x 2 x 3 x 3 x 5 x 5 x 11 x 1237

Step 4: Therefore, the least common multiple of 4948 and 4950 is 12246300.