Least Common Multiple of 313460 and 313468

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 313460 and 313468 the smallest integer that is 24564919820 that is divisible by both numbers.

Least Common Multiple (LCM) of 313460 and 313468 is 24564919820.

LCM(313460,313468) = 24564919820

LCM of 313460 and 313468

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

LCM of:
and

Least Common Multiple of 313460 and 313468

LCM of 313460 and 313468 is 24564919820

Least common multiple can be found by multiplying the highest exponent prime factors of 313460 and 313468. First we will calculate the prime factors of 313460 and 313468.

Prime Factorization of 313460


2 313460
2 156730
5 78365
7 15673
2239 2239
1

Prime factors of 313460 are 2, 5, 7,2239. Prime factorization of 313460 in exponential form is:

313460 = 22×51×71×22391

Prime Factorization of 313468


2 313468
2 156734
78367 78367
1

Prime factors of 313468 are 2,78367. Prime factorization of 313468 in exponential form is:

313468 = 22×783671

Now multiplying the highest exponent prime factors to calculate the LCM of 313460 and 313468.

LCM(313460,313468) = 22×51×71×22391×783671
LCM(313460,313468) = 24564919820

Factors of 313460

List of positive integer factors of 313460 that divides 313460 without a remainder.

1, 2, 4, 5, 7, 10, 14, 20, 28, 35, 70, 140, 2239, 4478, 8956, 11195, 15673, 22390, 31346, 44780, 62692, 78365, 156730, 313460

Factors of 313468

List of positive integer factors of 313468 that divides 313468 without a remainder.

1, 2, 4, 78367, 156734, 313468

Least Common Multiple of 313460 and 313468 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 313460 and 313468, than apply into the LCM equation.

GCF(313460,313468) = 4
LCM(313460,313468) = ( 313460 × 313468) / 4
LCM(313460,313468) = 98259679280 / 4
LCM(313460,313468) = 24564919820

Properties of LCM 313460 and 313468

(i) The LCM of 313468 and 313460 is associative

LCM of 313460 and 313468 = LCM of 313468 and 313460

Related Least Common Multiples of 313460

Related Least Common Multiples of 313468

Frequently Asked Questions on LCM of 313460 and 313468

1. What is the LCM of 313460 and 313468?

Answer: LCM of 313460 and 313468 is 24564919820.

2. What are the Factors of 313460?

Answer: Factors of 313460 are 1, 2, 4, 5, 7, 10, 14, 20, 28, 35, 70, 140, 2239, 4478, 8956, 11195, 15673, 22390, 31346, 44780, 62692, 78365, 156730, 313460. There are 24 integers that are factors of 313460. The greatest factor of 313460 is 313460.

3. What are the Factors of 313468?

Answer: Factors of 313468 are 1, 2, 4, 78367, 156734, 313468. There are 6 integers that are factors of 313468. The greatest factor of 313468 is 313468.

4. How to Find the LCM of 313460 and 313468?

Answer:

Least Common Multiple of 313460 and 313468 = 24564919820

Step 1: Find the prime factorization of 313460

313460 = 2 x 2 x 5 x 7 x 2239

Step 2: Find the prime factorization of 313468

313468 = 2 x 2 x 78367

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

LCM = 24564919820 = 2 x 2 x 5 x 7 x 2239 x 78367

Step 4: Therefore, the least common multiple of 313460 and 313468 is 24564919820.