Least Common Multiple of 9612 and 9616

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 9612 and 9616 the smallest integer that is 23107248 that is divisible by both numbers.

Least Common Multiple (LCM) of 9612 and 9616 is 23107248.

LCM(9612,9616) = 23107248

LCM of 9612 and 9616

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

LCM of:
and

Least Common Multiple of 9612 and 9616

LCM of 9612 and 9616 is 23107248

Least common multiple can be found by multiplying the highest exponent prime factors of 9612 and 9616. First we will calculate the prime factors of 9612 and 9616.

Prime Factorization of 9612


2 9612
2 4806
3 2403
3 801
3 267
89 89
1

Prime factors of 9612 are 2, 3,89. Prime factorization of 9612 in exponential form is:

9612 = 22×33×891

Prime Factorization of 9616


2 9616
2 4808
2 2404
2 1202
601 601
1

Prime factors of 9616 are 2,601. Prime factorization of 9616 in exponential form is:

9616 = 24×6011

Now multiplying the highest exponent prime factors to calculate the LCM of 9612 and 9616.

LCM(9612,9616) = 24×33×891×6011
LCM(9612,9616) = 23107248

Factors of 9612

List of positive integer factors of 9612 that divides 9612 without a remainder.

1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 89, 108, 178, 267, 356, 534, 801, 1068, 1602, 2403, 3204, 4806, 9612

Factors of 9616

List of positive integer factors of 9616 that divides 9616 without a remainder.

1, 2, 4, 8, 16, 601, 1202, 2404, 4808, 9616

Least Common Multiple of 9612 and 9616 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 9612 and 9616, than apply into the LCM equation.

GCF(9612,9616) = 4
LCM(9612,9616) = ( 9612 × 9616) / 4
LCM(9612,9616) = 92428992 / 4
LCM(9612,9616) = 23107248

Properties of LCM 9612 and 9616

(i) The LCM of 9616 and 9612 is associative

LCM of 9612 and 9616 = LCM of 9616 and 9612

Related Least Common Multiples of 9612

Related Least Common Multiples of 9616

Frequently Asked Questions on LCM of 9612 and 9616

1. What is the LCM of 9612 and 9616?

Answer: LCM of 9612 and 9616 is 23107248.

2. What are the Factors of 9612?

Answer: Factors of 9612 are 1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 89, 108, 178, 267, 356, 534, 801, 1068, 1602, 2403, 3204, 4806, 9612. There are 24 integers that are factors of 9612. The greatest factor of 9612 is 9612.

3. What are the Factors of 9616?

Answer: Factors of 9616 are 1, 2, 4, 8, 16, 601, 1202, 2404, 4808, 9616. There are 10 integers that are factors of 9616. The greatest factor of 9616 is 9616.

4. How to Find the LCM of 9612 and 9616?

Answer:

Least Common Multiple of 9612 and 9616 = 23107248

Step 1: Find the prime factorization of 9612

9612 = 2 x 2 x 3 x 3 x 3 x 89

Step 2: Find the prime factorization of 9616

9616 = 2 x 2 x 2 x 2 x 601

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

LCM = 23107248 = 2 x 2 x 2 x 2 x 3 x 3 x 3 x 89 x 601

Step 4: Therefore, the least common multiple of 9612 and 9616 is 23107248.