Least Common Multiple of 47314 and 47318

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 47318 the smallest integer that is 1119401926 that is divisible by both numbers.

Least Common Multiple (LCM) of 47314 and 47318 is 1119401926.

LCM(47314,47318) = 1119401926

LCM of 47314 and 47318

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

LCM of:
and

Least Common Multiple of 47314 and 47318

LCM of 47314 and 47318 is 1119401926

Least common multiple can be found by multiplying the highest exponent prime factors of 47314 and 47318. First we will calculate the prime factors of 47314 and 47318.

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 47318


2 47318
59 23659
401 401
1

Prime factors of 47318 are 2, 59,401. Prime factorization of 47318 in exponential form is:

47318 = 21×591×4011

Now multiplying the highest exponent prime factors to calculate the LCM of 47314 and 47318.

LCM(47314,47318) = 21×411×591×4011×5771
LCM(47314,47318) = 1119401926

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 47318

List of positive integer factors of 47318 that divides 47318 without a remainder.

1, 2, 59, 118, 401, 802, 23659, 47318

Least Common Multiple of 47314 and 47318 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 47318, than apply into the LCM equation.

GCF(47314,47318) = 2
LCM(47314,47318) = ( 47314 × 47318) / 2
LCM(47314,47318) = 2238803852 / 2
LCM(47314,47318) = 1119401926

Properties of LCM 47314 and 47318

(i) The LCM of 47318 and 47314 is associative

LCM of 47314 and 47318 = LCM of 47318 and 47314

Related Least Common Multiples of 47314

Related Least Common Multiples of 47318

Frequently Asked Questions on LCM of 47314 and 47318

1. What is the LCM of 47314 and 47318?

Answer: LCM of 47314 and 47318 is 1119401926.

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 47318?

Answer: Factors of 47318 are 1, 2, 59, 118, 401, 802, 23659, 47318. There are 8 integers that are factors of 47318. The greatest factor of 47318 is 47318.

4. How to Find the LCM of 47314 and 47318?

Answer:

Least Common Multiple of 47314 and 47318 = 1119401926

Step 1: Find the prime factorization of 47314

47314 = 2 x 41 x 577

Step 2: Find the prime factorization of 47318

47318 = 2 x 59 x 401

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

LCM = 1119401926 = 2 x 41 x 59 x 401 x 577

Step 4: Therefore, the least common multiple of 47314 and 47318 is 1119401926.