Least Common Multiple of 4950 and 4956

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 4950 and 4956 the smallest integer that is 4088700 that is divisible by both numbers.

Least Common Multiple (LCM) of 4950 and 4956 is 4088700.

LCM(4950,4956) = 4088700

LCM of 4950 and 4956

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

LCM of:
and

Least Common Multiple of 4950 and 4956

LCM of 4950 and 4956 is 4088700

Least common multiple can be found by multiplying the highest exponent prime factors of 4950 and 4956. First we will calculate the prime factors of 4950 and 4956.

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

Prime Factorization of 4956


2 4956
2 2478
3 1239
7 413
59 59
1

Prime factors of 4956 are 2, 3, 7,59. Prime factorization of 4956 in exponential form is:

4956 = 22×31×71×591

Now multiplying the highest exponent prime factors to calculate the LCM of 4950 and 4956.

LCM(4950,4956) = 22×32×52×71×111×591
LCM(4950,4956) = 4088700

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

Factors of 4956

List of positive integer factors of 4956 that divides 4956 without a remainder.

1, 2, 3, 4, 6, 7, 12, 14, 21, 28, 42, 59, 84, 118, 177, 236, 354, 413, 708, 826, 1239, 1652, 2478, 4956

Least Common Multiple of 4950 and 4956 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 4950 and 4956, than apply into the LCM equation.

GCF(4950,4956) = 6
LCM(4950,4956) = ( 4950 × 4956) / 6
LCM(4950,4956) = 24532200 / 6
LCM(4950,4956) = 4088700

Properties of LCM 4950 and 4956

(i) The LCM of 4956 and 4950 is associative

LCM of 4950 and 4956 = LCM of 4956 and 4950

Related Least Common Multiples of 4950

Related Least Common Multiples of 4956

Frequently Asked Questions on LCM of 4950 and 4956

1. What is the LCM of 4950 and 4956?

Answer: LCM of 4950 and 4956 is 4088700.

2. 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.

3. What are the Factors of 4956?

Answer: Factors of 4956 are 1, 2, 3, 4, 6, 7, 12, 14, 21, 28, 42, 59, 84, 118, 177, 236, 354, 413, 708, 826, 1239, 1652, 2478, 4956. There are 24 integers that are factors of 4956. The greatest factor of 4956 is 4956.

4. How to Find the LCM of 4950 and 4956?

Answer:

Least Common Multiple of 4950 and 4956 = 4088700

Step 1: Find the prime factorization of 4950

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

Step 2: Find the prime factorization of 4956

4956 = 2 x 2 x 3 x 7 x 59

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

LCM = 4088700 = 2 x 2 x 3 x 3 x 5 x 5 x 7 x 11 x 59

Step 4: Therefore, the least common multiple of 4950 and 4956 is 4088700.