Least Common Multiple of 47314 and 47320

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 47314 and 47320 the smallest integer that is 1119449240 that is divisible by both numbers.

Least Common Multiple (LCM) of 47314 and 47320 is 1119449240.

LCM(47314,47320) = 1119449240

LCM of 47314 and 47320

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

LCM of:
and

Least Common Multiple of 47314 and 47320

LCM of 47314 and 47320 is 1119449240

Least common multiple can be found by multiplying the highest exponent prime factors of 47314 and 47320. First we will calculate the prime factors of 47314 and 47320.

Prime Factorization of 47314


2 47314
41 23657
577 577
1

Prime factors of 47314 are 2, 41,577. Prime factorization of 47314 in exponential form is:

47314 = 21×411×5771

Prime Factorization of 47320


2 47320
2 23660
2 11830
5 5915
7 1183
13 169
13 13
1

Prime factors of 47320 are 2, 5, 7,13. Prime factorization of 47320 in exponential form is:

47320 = 23×51×71×132

Now multiplying the highest exponent prime factors to calculate the LCM of 47314 and 47320.

LCM(47314,47320) = 23×51×71×132×411×5771
LCM(47314,47320) = 1119449240

Factors of 47314

List of positive integer factors of 47314 that divides 47314 without a remainder.

1, 2, 41, 82, 577, 1154, 23657, 47314

Factors of 47320

List of positive integer factors of 47320 that divides 47320 without a remainder.

1, 2, 4, 5, 7, 8, 10, 13, 14, 20, 26, 28, 35, 40, 52, 56, 65, 70, 91, 104, 130, 140, 169, 182, 260, 280, 338, 364, 455, 520, 676, 728, 845, 910, 1183, 1352, 1690, 1820, 2366, 3380, 3640, 4732, 5915, 6760, 9464, 11830, 23660, 47320

Least Common Multiple of 47314 and 47320 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 47314 and 47320, than apply into the LCM equation.

GCF(47314,47320) = 2
LCM(47314,47320) = ( 47314 × 47320) / 2
LCM(47314,47320) = 2238898480 / 2
LCM(47314,47320) = 1119449240

Properties of LCM 47314 and 47320

(i) The LCM of 47320 and 47314 is associative

LCM of 47314 and 47320 = LCM of 47320 and 47314

Related Least Common Multiples of 47314

Related Least Common Multiples of 47320

Frequently Asked Questions on LCM of 47314 and 47320

1. What is the LCM of 47314 and 47320?

Answer: LCM of 47314 and 47320 is 1119449240.

2. What are the Factors of 47314?

Answer: Factors of 47314 are 1, 2, 41, 82, 577, 1154, 23657, 47314. There are 8 integers that are factors of 47314. The greatest factor of 47314 is 47314.

3. What are the Factors of 47320?

Answer: Factors of 47320 are 1, 2, 4, 5, 7, 8, 10, 13, 14, 20, 26, 28, 35, 40, 52, 56, 65, 70, 91, 104, 130, 140, 169, 182, 260, 280, 338, 364, 455, 520, 676, 728, 845, 910, 1183, 1352, 1690, 1820, 2366, 3380, 3640, 4732, 5915, 6760, 9464, 11830, 23660, 47320. There are 48 integers that are factors of 47320. The greatest factor of 47320 is 47320.

4. How to Find the LCM of 47314 and 47320?

Answer:

Least Common Multiple of 47314 and 47320 = 1119449240

Step 1: Find the prime factorization of 47314

47314 = 2 x 41 x 577

Step 2: Find the prime factorization of 47320

47320 = 2 x 2 x 2 x 5 x 7 x 13 x 13

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

LCM = 1119449240 = 2 x 2 x 2 x 5 x 7 x 13 x 13 x 41 x 577

Step 4: Therefore, the least common multiple of 47314 and 47320 is 1119449240.