Least Common Multiple of 9949 and 9954

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

• Least Common Multiple of 9949 and 9954 by Prime method
• Least Common Multiple of 9949 and 9954 with GCF Formula

Least common multiple can be found by multiplying the highest exponent prime factors of 9949 and 9954. First we will calculate the prime factors of 9949 and 9954.

Prime Factorization of 9949

Prime factors of 9949 are 9949. Prime factorization of 9949 in exponential form is:

9949 = 9949¹

Prime Factorization of 9954

Prime factors of 9954 are 2, 3, 7,79. Prime factorization of 9954 in exponential form is:

9954 = 2¹×3²×7¹×79¹

Now multiplying the highest exponent prime factors to calculate the LCM of 9949 and 9954.

LCM(9949,9954) = 2¹×3²×7¹×79¹×9949¹
LCM(9949,9954) = 99032346

Factors of 9949

List of positive integer factors of 9949 that divides 9949 without a remainder.

1, 9949

Factors of 9954

List of positive integer factors of 9954 that divides 9954 without a remainder.

1, 2, 3, 6, 7, 9, 14, 18, 21, 42, 63, 79, 126, 158, 237, 474, 553, 711, 1106, 1422, 1659, 3318, 4977, 9954

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 9949 and 9954, than apply into the LCM equation.

GCF(9949,9954) = 1
LCM(9949,9954) = ( 9949 × 9954) / 1
LCM(9949,9954) = 99032346 / 1
LCM(9949,9954) = 99032346

(i) The LCM of 9954 and 9949 is associative

LCM of 9949 and 9954 = LCM of 9954 and 9949

1. What is the LCM of 9949 and 9954?

Answer: LCM of 9949 and 9954 is 99032346.

2. What are the Factors of 9949?

Answer: Factors of 9949 are 1, 9949. There are 2 integers that are factors of 9949. The greatest factor of 9949 is 9949.

3. What are the Factors of 9954?

Answer: Factors of 9954 are 1, 2, 3, 6, 7, 9, 14, 18, 21, 42, 63, 79, 126, 158, 237, 474, 553, 711, 1106, 1422, 1659, 3318, 4977, 9954. There are 24 integers that are factors of 9954. The greatest factor of 9954 is 9954.

4. How to Find the LCM of 9949 and 9954?

Answer:

Least Common Multiple of 9949 and 9954 = 99032346

Step 1: Find the prime factorization of 9949

9949 = 9949

Step 2: Find the prime factorization of 9954

9954 = 2 x 3 x 3 x 7 x 79

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

LCM = 99032346 = 2 x 3 x 3 x 7 x 79 x 9949

Step 4: Therefore, the least common multiple of 9949 and 9954 is 99032346.