Least Common Multiple of 23370 and 23376

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 23370 and 23376 the smallest integer that is 91049520 that is divisible by both numbers.

Least Common Multiple (LCM) of 23370 and 23376 is 91049520.

LCM(23370,23376) = 91049520

LCM of 23370 and 23376

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

LCM of:
and

Least Common Multiple of 23370 and 23376

LCM of 23370 and 23376 is 91049520

Least common multiple can be found by multiplying the highest exponent prime factors of 23370 and 23376. First we will calculate the prime factors of 23370 and 23376.

Prime Factorization of 23370


2 23370
3 11685
5 3895
19 779
41 41
1

Prime factors of 23370 are 2, 3, 5, 19,41. Prime factorization of 23370 in exponential form is:

23370 = 21×31×51×191×411

Prime Factorization of 23376


2 23376
2 11688
2 5844
2 2922
3 1461
487 487
1

Prime factors of 23376 are 2, 3,487. Prime factorization of 23376 in exponential form is:

23376 = 24×31×4871

Now multiplying the highest exponent prime factors to calculate the LCM of 23370 and 23376.

LCM(23370,23376) = 24×31×51×191×411×4871
LCM(23370,23376) = 91049520

Factors of 23370

List of positive integer factors of 23370 that divides 23370 without a remainder.

1, 2, 3, 5, 6, 10, 15, 19, 30, 38, 41, 57, 82, 95, 114, 123, 190, 205, 246, 285, 410, 570, 615, 779, 1230, 1558, 2337, 3895, 4674, 7790, 11685, 23370

Factors of 23376

List of positive integer factors of 23376 that divides 23376 without a remainder.

1, 2, 3, 4, 6, 8, 12, 16, 24, 48, 487, 974, 1461, 1948, 2922, 3896, 5844, 7792, 11688, 23376

Least Common Multiple of 23370 and 23376 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 23370 and 23376, than apply into the LCM equation.

GCF(23370,23376) = 6
LCM(23370,23376) = ( 23370 × 23376) / 6
LCM(23370,23376) = 546297120 / 6
LCM(23370,23376) = 91049520

Properties of LCM 23370 and 23376

(i) The LCM of 23376 and 23370 is associative

LCM of 23370 and 23376 = LCM of 23376 and 23370

Related Least Common Multiples of 23370

Related Least Common Multiples of 23376

Frequently Asked Questions on LCM of 23370 and 23376

1. What is the LCM of 23370 and 23376?

Answer: LCM of 23370 and 23376 is 91049520.

2. What are the Factors of 23370?

Answer: Factors of 23370 are 1, 2, 3, 5, 6, 10, 15, 19, 30, 38, 41, 57, 82, 95, 114, 123, 190, 205, 246, 285, 410, 570, 615, 779, 1230, 1558, 2337, 3895, 4674, 7790, 11685, 23370. There are 32 integers that are factors of 23370. The greatest factor of 23370 is 23370.

3. What are the Factors of 23376?

Answer: Factors of 23376 are 1, 2, 3, 4, 6, 8, 12, 16, 24, 48, 487, 974, 1461, 1948, 2922, 3896, 5844, 7792, 11688, 23376. There are 20 integers that are factors of 23376. The greatest factor of 23376 is 23376.

4. How to Find the LCM of 23370 and 23376?

Answer:

Least Common Multiple of 23370 and 23376 = 91049520

Step 1: Find the prime factorization of 23370

23370 = 2 x 3 x 5 x 19 x 41

Step 2: Find the prime factorization of 23376

23376 = 2 x 2 x 2 x 2 x 3 x 487

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

LCM = 91049520 = 2 x 2 x 2 x 2 x 3 x 5 x 19 x 41 x 487

Step 4: Therefore, the least common multiple of 23370 and 23376 is 91049520.