Least Common Multiple of 9649 and 9654

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 9649 and 9654 the smallest integer that is 93151446 that is divisible by both numbers.

Least Common Multiple (LCM) of 9649 and 9654 is 93151446.

LCM(9649,9654) = 93151446

LCM of 9649 and 9654

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

LCM of:
and

Least Common Multiple of 9649 and 9654

LCM of 9649 and 9654 is 93151446

Least common multiple can be found by multiplying the highest exponent prime factors of 9649 and 9654. First we will calculate the prime factors of 9649 and 9654.

Prime Factorization of 9649


9649 9649
1

Prime factors of 9649 are 9649. Prime factorization of 9649 in exponential form is:

9649 = 96491

Prime Factorization of 9654


2 9654
3 4827
1609 1609
1

Prime factors of 9654 are 2, 3,1609. Prime factorization of 9654 in exponential form is:

9654 = 21×31×16091

Now multiplying the highest exponent prime factors to calculate the LCM of 9649 and 9654.

LCM(9649,9654) = 21×31×16091×96491
LCM(9649,9654) = 93151446

Factors of 9649

List of positive integer factors of 9649 that divides 9649 without a remainder.

1, 9649

Factors of 9654

List of positive integer factors of 9654 that divides 9654 without a remainder.

1, 2, 3, 6, 1609, 3218, 4827, 9654

Least Common Multiple of 9649 and 9654 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 9649 and 9654, than apply into the LCM equation.

GCF(9649,9654) = 1
LCM(9649,9654) = ( 9649 × 9654) / 1
LCM(9649,9654) = 93151446 / 1
LCM(9649,9654) = 93151446

Properties of LCM 9649 and 9654

(i) The LCM of 9654 and 9649 is associative

LCM of 9649 and 9654 = LCM of 9654 and 9649

Related Least Common Multiples of 9649

Related Least Common Multiples of 9654

Frequently Asked Questions on LCM of 9649 and 9654

1. What is the LCM of 9649 and 9654?

Answer: LCM of 9649 and 9654 is 93151446.

2. What are the Factors of 9649?

Answer: Factors of 9649 are 1, 9649. There are 2 integers that are factors of 9649. The greatest factor of 9649 is 9649.

3. What are the Factors of 9654?

Answer: Factors of 9654 are 1, 2, 3, 6, 1609, 3218, 4827, 9654. There are 8 integers that are factors of 9654. The greatest factor of 9654 is 9654.

4. How to Find the LCM of 9649 and 9654?

Answer:

Least Common Multiple of 9649 and 9654 = 93151446

Step 1: Find the prime factorization of 9649

9649 = 9649

Step 2: Find the prime factorization of 9654

9654 = 2 x 3 x 1609

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

LCM = 93151446 = 2 x 3 x 1609 x 9649

Step 4: Therefore, the least common multiple of 9649 and 9654 is 93151446.