Least Common Multiple of 313462 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 313462 and 313468 the smallest integer that is 49130153108 that is divisible by both numbers.

Least Common Multiple (LCM) of 313462 and 313468 is 49130153108.

LCM(313462,313468) = 49130153108

LCM of 313462 and 313468

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

LCM of:
and

Least Common Multiple of 313462 and 313468

LCM of 313462 and 313468 is 49130153108

Least common multiple can be found by multiplying the highest exponent prime factors of 313462 and 313468. First we will calculate the prime factors of 313462 and 313468.

Prime Factorization of 313462


2 313462
19 156731
73 8249
113 113
1

Prime factors of 313462 are 2, 19, 73,113. Prime factorization of 313462 in exponential form is:

313462 = 21×191×731×1131

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 313462 and 313468.

LCM(313462,313468) = 22×191×731×1131×783671
LCM(313462,313468) = 49130153108

Factors of 313462

List of positive integer factors of 313462 that divides 313462 without a remainder.

1, 2, 19, 38, 73, 113, 146, 226, 1387, 2147, 2774, 4294, 8249, 16498, 156731, 313462

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 313462 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 313462 and 313468, than apply into the LCM equation.

GCF(313462,313468) = 2
LCM(313462,313468) = ( 313462 × 313468) / 2
LCM(313462,313468) = 98260306216 / 2
LCM(313462,313468) = 49130153108

Properties of LCM 313462 and 313468

(i) The LCM of 313468 and 313462 is associative

LCM of 313462 and 313468 = LCM of 313468 and 313462

Related Least Common Multiples of 313462

Related Least Common Multiples of 313468

Frequently Asked Questions on LCM of 313462 and 313468

1. What is the LCM of 313462 and 313468?

Answer: LCM of 313462 and 313468 is 49130153108.

2. What are the Factors of 313462?

Answer: Factors of 313462 are 1, 2, 19, 38, 73, 113, 146, 226, 1387, 2147, 2774, 4294, 8249, 16498, 156731, 313462. There are 16 integers that are factors of 313462. The greatest factor of 313462 is 313462.

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 313462 and 313468?

Answer:

Least Common Multiple of 313462 and 313468 = 49130153108

Step 1: Find the prime factorization of 313462

313462 = 2 x 19 x 73 x 113

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 = 49130153108 = 2 x 2 x 19 x 73 x 113 x 78367

Step 4: Therefore, the least common multiple of 313462 and 313468 is 49130153108.