Least Common Multiple of 47302 and 47306

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 47302 and 47306 the smallest integer that is 1118834206 that is divisible by both numbers.

Least Common Multiple (LCM) of 47302 and 47306 is 1118834206.

LCM(47302,47306) = 1118834206

LCM of 47302 and 47306

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

LCM of:
and

Least Common Multiple of 47302 and 47306

LCM of 47302 and 47306 is 1118834206

Least common multiple can be found by multiplying the highest exponent prime factors of 47302 and 47306. First we will calculate the prime factors of 47302 and 47306.

Prime Factorization of 47302


2 47302
67 23651
353 353
1

Prime factors of 47302 are 2, 67,353. Prime factorization of 47302 in exponential form is:

47302 = 21×671×3531

Prime Factorization of 47306


2 47306
7 23653
31 3379
109 109
1

Prime factors of 47306 are 2, 7, 31,109. Prime factorization of 47306 in exponential form is:

47306 = 21×71×311×1091

Now multiplying the highest exponent prime factors to calculate the LCM of 47302 and 47306.

LCM(47302,47306) = 21×71×311×671×1091×3531
LCM(47302,47306) = 1118834206

Factors of 47302

List of positive integer factors of 47302 that divides 47302 without a remainder.

1, 2, 67, 134, 353, 706, 23651, 47302

Factors of 47306

List of positive integer factors of 47306 that divides 47306 without a remainder.

1, 2, 7, 14, 31, 62, 109, 217, 218, 434, 763, 1526, 3379, 6758, 23653, 47306

Least Common Multiple of 47302 and 47306 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 47302 and 47306, than apply into the LCM equation.

GCF(47302,47306) = 2
LCM(47302,47306) = ( 47302 × 47306) / 2
LCM(47302,47306) = 2237668412 / 2
LCM(47302,47306) = 1118834206

Properties of LCM 47302 and 47306

(i) The LCM of 47306 and 47302 is associative

LCM of 47302 and 47306 = LCM of 47306 and 47302

Related Least Common Multiples of 47302

Related Least Common Multiples of 47306

Frequently Asked Questions on LCM of 47302 and 47306

1. What is the LCM of 47302 and 47306?

Answer: LCM of 47302 and 47306 is 1118834206.

2. What are the Factors of 47302?

Answer: Factors of 47302 are 1, 2, 67, 134, 353, 706, 23651, 47302. There are 8 integers that are factors of 47302. The greatest factor of 47302 is 47302.

3. What are the Factors of 47306?

Answer: Factors of 47306 are 1, 2, 7, 14, 31, 62, 109, 217, 218, 434, 763, 1526, 3379, 6758, 23653, 47306. There are 16 integers that are factors of 47306. The greatest factor of 47306 is 47306.

4. How to Find the LCM of 47302 and 47306?

Answer:

Least Common Multiple of 47302 and 47306 = 1118834206

Step 1: Find the prime factorization of 47302

47302 = 2 x 67 x 353

Step 2: Find the prime factorization of 47306

47306 = 2 x 7 x 31 x 109

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

LCM = 1118834206 = 2 x 7 x 31 x 67 x 109 x 353

Step 4: Therefore, the least common multiple of 47302 and 47306 is 1118834206.