Least Common Multiple of 47334 and 47340

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 47334 and 47340 the smallest integer that is 373465260 that is divisible by both numbers.

Least Common Multiple (LCM) of 47334 and 47340 is 373465260.

LCM(47334,47340) = 373465260

LCM of 47334 and 47340

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

LCM of:
and

Least Common Multiple of 47334 and 47340

LCM of 47334 and 47340 is 373465260

Least common multiple can be found by multiplying the highest exponent prime factors of 47334 and 47340. First we will calculate the prime factors of 47334 and 47340.

Prime Factorization of 47334


2 47334
3 23667
7 7889
7 1127
7 161
23 23
1

Prime factors of 47334 are 2, 3, 7,23. Prime factorization of 47334 in exponential form is:

47334 = 21×31×73×231

Prime Factorization of 47340


2 47340
2 23670
3 11835
3 3945
5 1315
263 263
1

Prime factors of 47340 are 2, 3, 5,263. Prime factorization of 47340 in exponential form is:

47340 = 22×32×51×2631

Now multiplying the highest exponent prime factors to calculate the LCM of 47334 and 47340.

LCM(47334,47340) = 22×32×51×73×231×2631
LCM(47334,47340) = 373465260

Factors of 47334

List of positive integer factors of 47334 that divides 47334 without a remainder.

1, 2, 3, 6, 7, 14, 21, 23, 42, 46, 49, 69, 98, 138, 147, 161, 294, 322, 343, 483, 686, 966, 1029, 1127, 2058, 2254, 3381, 6762, 7889, 15778, 23667, 47334

Factors of 47340

List of positive integer factors of 47340 that divides 47340 without a remainder.

1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 30, 36, 45, 60, 90, 180, 263, 526, 789, 1052, 1315, 1578, 2367, 2630, 3156, 3945, 4734, 5260, 7890, 9468, 11835, 15780, 23670, 47340

Least Common Multiple of 47334 and 47340 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 47334 and 47340, than apply into the LCM equation.

GCF(47334,47340) = 6
LCM(47334,47340) = ( 47334 × 47340) / 6
LCM(47334,47340) = 2240791560 / 6
LCM(47334,47340) = 373465260

Properties of LCM 47334 and 47340

(i) The LCM of 47340 and 47334 is associative

LCM of 47334 and 47340 = LCM of 47340 and 47334

Related Least Common Multiples of 47334

Related Least Common Multiples of 47340

Frequently Asked Questions on LCM of 47334 and 47340

1. What is the LCM of 47334 and 47340?

Answer: LCM of 47334 and 47340 is 373465260.

2. What are the Factors of 47334?

Answer: Factors of 47334 are 1, 2, 3, 6, 7, 14, 21, 23, 42, 46, 49, 69, 98, 138, 147, 161, 294, 322, 343, 483, 686, 966, 1029, 1127, 2058, 2254, 3381, 6762, 7889, 15778, 23667, 47334. There are 32 integers that are factors of 47334. The greatest factor of 47334 is 47334.

3. What are the Factors of 47340?

Answer: Factors of 47340 are 1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 30, 36, 45, 60, 90, 180, 263, 526, 789, 1052, 1315, 1578, 2367, 2630, 3156, 3945, 4734, 5260, 7890, 9468, 11835, 15780, 23670, 47340. There are 36 integers that are factors of 47340. The greatest factor of 47340 is 47340.

4. How to Find the LCM of 47334 and 47340?

Answer:

Least Common Multiple of 47334 and 47340 = 373465260

Step 1: Find the prime factorization of 47334

47334 = 2 x 3 x 7 x 7 x 7 x 23

Step 2: Find the prime factorization of 47340

47340 = 2 x 2 x 3 x 3 x 5 x 263

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

LCM = 373465260 = 2 x 2 x 3 x 3 x 5 x 7 x 7 x 7 x 23 x 263

Step 4: Therefore, the least common multiple of 47334 and 47340 is 373465260.