Least Common Multiple of 15372 and 15376

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 15372 and 15376 the smallest integer that is 59089968 that is divisible by both numbers.

Least Common Multiple (LCM) of 15372 and 15376 is 59089968.

LCM(15372,15376) = 59089968

LCM of 15372 and 15376

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

LCM of:
and

Least Common Multiple of 15372 and 15376

LCM of 15372 and 15376 is 59089968

Least common multiple can be found by multiplying the highest exponent prime factors of 15372 and 15376. First we will calculate the prime factors of 15372 and 15376.

Prime Factorization of 15372


2 15372
2 7686
3 3843
3 1281
7 427
61 61
1

Prime factors of 15372 are 2, 3, 7,61. Prime factorization of 15372 in exponential form is:

15372 = 22×32×71×611

Prime Factorization of 15376


2 15376
2 7688
2 3844
2 1922
31 961
31 31
1

Prime factors of 15376 are 2,31. Prime factorization of 15376 in exponential form is:

15376 = 24×312

Now multiplying the highest exponent prime factors to calculate the LCM of 15372 and 15376.

LCM(15372,15376) = 24×32×71×312×611
LCM(15372,15376) = 59089968

Factors of 15372

List of positive integer factors of 15372 that divides 15372 without a remainder.

1, 2, 3, 4, 6, 7, 9, 12, 14, 18, 21, 28, 36, 42, 61, 63, 84, 122, 126, 183, 244, 252, 366, 427, 549, 732, 854, 1098, 1281, 1708, 2196, 2562, 3843, 5124, 7686, 15372

Factors of 15376

List of positive integer factors of 15376 that divides 15376 without a remainder.

1, 2, 4, 8, 16, 31, 62, 124, 248, 496, 961, 1922, 3844, 7688, 15376

Least Common Multiple of 15372 and 15376 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 15372 and 15376, than apply into the LCM equation.

GCF(15372,15376) = 4
LCM(15372,15376) = ( 15372 × 15376) / 4
LCM(15372,15376) = 236359872 / 4
LCM(15372,15376) = 59089968

Properties of LCM 15372 and 15376

(i) The LCM of 15376 and 15372 is associative

LCM of 15372 and 15376 = LCM of 15376 and 15372

Related Least Common Multiples of 15372

Related Least Common Multiples of 15376

Frequently Asked Questions on LCM of 15372 and 15376

1. What is the LCM of 15372 and 15376?

Answer: LCM of 15372 and 15376 is 59089968.

2. What are the Factors of 15372?

Answer: Factors of 15372 are 1, 2, 3, 4, 6, 7, 9, 12, 14, 18, 21, 28, 36, 42, 61, 63, 84, 122, 126, 183, 244, 252, 366, 427, 549, 732, 854, 1098, 1281, 1708, 2196, 2562, 3843, 5124, 7686, 15372. There are 36 integers that are factors of 15372. The greatest factor of 15372 is 15372.

3. What are the Factors of 15376?

Answer: Factors of 15376 are 1, 2, 4, 8, 16, 31, 62, 124, 248, 496, 961, 1922, 3844, 7688, 15376. There are 15 integers that are factors of 15376. The greatest factor of 15376 is 15376.

4. How to Find the LCM of 15372 and 15376?

Answer:

Least Common Multiple of 15372 and 15376 = 59089968

Step 1: Find the prime factorization of 15372

15372 = 2 x 2 x 3 x 3 x 7 x 61

Step 2: Find the prime factorization of 15376

15376 = 2 x 2 x 2 x 2 x 31 x 31

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

LCM = 59089968 = 2 x 2 x 2 x 2 x 3 x 3 x 7 x 31 x 31 x 61

Step 4: Therefore, the least common multiple of 15372 and 15376 is 59089968.