Least Common Multiple of 40152 and 40160

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 40152 and 40160 the smallest integer that is 201563040 that is divisible by both numbers.

Least Common Multiple (LCM) of 40152 and 40160 is 201563040.

LCM(40152,40160) = 201563040

LCM of 40152 and 40160

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

LCM of:
and

Least Common Multiple of 40152 and 40160

LCM of 40152 and 40160 is 201563040

Least common multiple can be found by multiplying the highest exponent prime factors of 40152 and 40160. First we will calculate the prime factors of 40152 and 40160.

Prime Factorization of 40152


2 40152
2 20076
2 10038
3 5019
7 1673
239 239
1

Prime factors of 40152 are 2, 3, 7,239. Prime factorization of 40152 in exponential form is:

40152 = 23×31×71×2391

Prime Factorization of 40160


2 40160
2 20080
2 10040
2 5020
2 2510
5 1255
251 251
1

Prime factors of 40160 are 2, 5,251. Prime factorization of 40160 in exponential form is:

40160 = 25×51×2511

Now multiplying the highest exponent prime factors to calculate the LCM of 40152 and 40160.

LCM(40152,40160) = 25×31×51×71×2391×2511
LCM(40152,40160) = 201563040

Factors of 40152

List of positive integer factors of 40152 that divides 40152 without a remainder.

1, 2, 3, 4, 6, 7, 8, 12, 14, 21, 24, 28, 42, 56, 84, 168, 239, 478, 717, 956, 1434, 1673, 1912, 2868, 3346, 5019, 5736, 6692, 10038, 13384, 20076, 40152

Factors of 40160

List of positive integer factors of 40160 that divides 40160 without a remainder.

1, 2, 4, 5, 8, 10, 16, 20, 32, 40, 80, 160, 251, 502, 1004, 1255, 2008, 2510, 4016, 5020, 8032, 10040, 20080, 40160

Least Common Multiple of 40152 and 40160 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 40152 and 40160, than apply into the LCM equation.

GCF(40152,40160) = 8
LCM(40152,40160) = ( 40152 × 40160) / 8
LCM(40152,40160) = 1612504320 / 8
LCM(40152,40160) = 201563040

Properties of LCM 40152 and 40160

(i) The LCM of 40160 and 40152 is associative

LCM of 40152 and 40160 = LCM of 40160 and 40152

Related Least Common Multiples of 40152

Related Least Common Multiples of 40160

Frequently Asked Questions on LCM of 40152 and 40160

1. What is the LCM of 40152 and 40160?

Answer: LCM of 40152 and 40160 is 201563040.

2. What are the Factors of 40152?

Answer: Factors of 40152 are 1, 2, 3, 4, 6, 7, 8, 12, 14, 21, 24, 28, 42, 56, 84, 168, 239, 478, 717, 956, 1434, 1673, 1912, 2868, 3346, 5019, 5736, 6692, 10038, 13384, 20076, 40152. There are 32 integers that are factors of 40152. The greatest factor of 40152 is 40152.

3. What are the Factors of 40160?

Answer: Factors of 40160 are 1, 2, 4, 5, 8, 10, 16, 20, 32, 40, 80, 160, 251, 502, 1004, 1255, 2008, 2510, 4016, 5020, 8032, 10040, 20080, 40160. There are 24 integers that are factors of 40160. The greatest factor of 40160 is 40160.

4. How to Find the LCM of 40152 and 40160?

Answer:

Least Common Multiple of 40152 and 40160 = 201563040

Step 1: Find the prime factorization of 40152

40152 = 2 x 2 x 2 x 3 x 7 x 239

Step 2: Find the prime factorization of 40160

40160 = 2 x 2 x 2 x 2 x 2 x 5 x 251

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

LCM = 201563040 = 2 x 2 x 2 x 2 x 2 x 3 x 5 x 7 x 239 x 251

Step 4: Therefore, the least common multiple of 40152 and 40160 is 201563040.