Least Common Multiple of 308454 and 308460

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 308454 and 308460 the smallest integer that is 15857620140 that is divisible by both numbers.

Least Common Multiple (LCM) of 308454 and 308460 is 15857620140.

LCM(308454,308460) = 15857620140

LCM of 308454 and 308460

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

LCM of:
and

Least Common Multiple of 308454 and 308460

LCM of 308454 and 308460 is 15857620140

Least common multiple can be found by multiplying the highest exponent prime factors of 308454 and 308460. First we will calculate the prime factors of 308454 and 308460.

Prime Factorization of 308454


2 308454
3 154227
101 51409
509 509
1

Prime factors of 308454 are 2, 3, 101,509. Prime factorization of 308454 in exponential form is:

308454 = 21×31×1011×5091

Prime Factorization of 308460


2 308460
2 154230
3 77115
5 25705
53 5141
97 97
1

Prime factors of 308460 are 2, 3, 5, 53,97. Prime factorization of 308460 in exponential form is:

308460 = 22×31×51×531×971

Now multiplying the highest exponent prime factors to calculate the LCM of 308454 and 308460.

LCM(308454,308460) = 22×31×51×531×971×1011×5091
LCM(308454,308460) = 15857620140

Factors of 308454

List of positive integer factors of 308454 that divides 308454 without a remainder.

1, 2, 3, 6, 101, 202, 303, 509, 606, 1018, 1527, 3054, 51409, 102818, 154227, 308454

Factors of 308460

List of positive integer factors of 308460 that divides 308460 without a remainder.

1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 30, 53, 60, 97, 106, 159, 194, 212, 265, 291, 318, 388, 485, 530, 582, 636, 795, 970, 1060, 1164, 1455, 1590, 1940, 2910, 3180, 5141, 5820, 10282, 15423, 20564, 25705, 30846, 51410, 61692, 77115, 102820, 154230, 308460

Least Common Multiple of 308454 and 308460 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 308454 and 308460, than apply into the LCM equation.

GCF(308454,308460) = 6
LCM(308454,308460) = ( 308454 × 308460) / 6
LCM(308454,308460) = 95145720840 / 6
LCM(308454,308460) = 15857620140

Properties of LCM 308454 and 308460

(i) The LCM of 308460 and 308454 is associative

LCM of 308454 and 308460 = LCM of 308460 and 308454

Related Least Common Multiples of 308454

Related Least Common Multiples of 308460

Frequently Asked Questions on LCM of 308454 and 308460

1. What is the LCM of 308454 and 308460?

Answer: LCM of 308454 and 308460 is 15857620140.

2. What are the Factors of 308454?

Answer: Factors of 308454 are 1, 2, 3, 6, 101, 202, 303, 509, 606, 1018, 1527, 3054, 51409, 102818, 154227, 308454. There are 16 integers that are factors of 308454. The greatest factor of 308454 is 308454.

3. What are the Factors of 308460?

Answer: Factors of 308460 are 1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 30, 53, 60, 97, 106, 159, 194, 212, 265, 291, 318, 388, 485, 530, 582, 636, 795, 970, 1060, 1164, 1455, 1590, 1940, 2910, 3180, 5141, 5820, 10282, 15423, 20564, 25705, 30846, 51410, 61692, 77115, 102820, 154230, 308460. There are 48 integers that are factors of 308460. The greatest factor of 308460 is 308460.

4. How to Find the LCM of 308454 and 308460?

Answer:

Least Common Multiple of 308454 and 308460 = 15857620140

Step 1: Find the prime factorization of 308454

308454 = 2 x 3 x 101 x 509

Step 2: Find the prime factorization of 308460

308460 = 2 x 2 x 3 x 5 x 53 x 97

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

LCM = 15857620140 = 2 x 2 x 3 x 5 x 53 x 97 x 101 x 509

Step 4: Therefore, the least common multiple of 308454 and 308460 is 15857620140.