Least Common Multiple of 9612 and 9617

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 9617 the smallest integer that is 92438604 that is divisible by both numbers.

Least Common Multiple (LCM) of 9612 and 9617 is 92438604.

LCM(9612,9617) = 92438604

LCM of 9612 and 9617

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

LCM of:
and

Least Common Multiple of 9612 and 9617

LCM of 9612 and 9617 is 92438604

Least common multiple can be found by multiplying the highest exponent prime factors of 9612 and 9617. First we will calculate the prime factors of 9612 and 9617.

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 9617


59 9617
163 163
1

Prime factors of 9617 are 59,163. Prime factorization of 9617 in exponential form is:

9617 = 591×1631

Now multiplying the highest exponent prime factors to calculate the LCM of 9612 and 9617.

LCM(9612,9617) = 22×33×591×891×1631
LCM(9612,9617) = 92438604

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 9617

List of positive integer factors of 9617 that divides 9617 without a remainder.

1, 59, 163, 9617

Least Common Multiple of 9612 and 9617 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 9617, than apply into the LCM equation.

GCF(9612,9617) = 1
LCM(9612,9617) = ( 9612 × 9617) / 1
LCM(9612,9617) = 92438604 / 1
LCM(9612,9617) = 92438604

Properties of LCM 9612 and 9617

(i) The LCM of 9617 and 9612 is associative

LCM of 9612 and 9617 = LCM of 9617 and 9612

Related Least Common Multiples of 9612

Related Least Common Multiples of 9617

Frequently Asked Questions on LCM of 9612 and 9617

1. What is the LCM of 9612 and 9617?

Answer: LCM of 9612 and 9617 is 92438604.

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 9617?

Answer: Factors of 9617 are 1, 59, 163, 9617. There are 4 integers that are factors of 9617. The greatest factor of 9617 is 9617.

4. How to Find the LCM of 9612 and 9617?

Answer:

Least Common Multiple of 9612 and 9617 = 92438604

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 9617

9617 = 59 x 163

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

LCM = 92438604 = 2 x 2 x 3 x 3 x 3 x 59 x 89 x 163

Step 4: Therefore, the least common multiple of 9612 and 9617 is 92438604.