Least Common Multiple of 40152 and 40157

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 40157 the smallest integer that is 1612383864 that is divisible by both numbers.

Least Common Multiple (LCM) of 40152 and 40157 is 1612383864.

LCM(40152,40157) = 1612383864

LCM of 40152 and 40157

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

LCM of:
and

Least Common Multiple of 40152 and 40157

LCM of 40152 and 40157 is 1612383864

Least common multiple can be found by multiplying the highest exponent prime factors of 40152 and 40157. First we will calculate the prime factors of 40152 and 40157.

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 40157


13 40157
3089 3089
1

Prime factors of 40157 are 13,3089. Prime factorization of 40157 in exponential form is:

40157 = 131×30891

Now multiplying the highest exponent prime factors to calculate the LCM of 40152 and 40157.

LCM(40152,40157) = 23×31×71×131×2391×30891
LCM(40152,40157) = 1612383864

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 40157

List of positive integer factors of 40157 that divides 40157 without a remainder.

1, 13, 3089, 40157

Least Common Multiple of 40152 and 40157 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 40157, than apply into the LCM equation.

GCF(40152,40157) = 1
LCM(40152,40157) = ( 40152 × 40157) / 1
LCM(40152,40157) = 1612383864 / 1
LCM(40152,40157) = 1612383864

Properties of LCM 40152 and 40157

(i) The LCM of 40157 and 40152 is associative

LCM of 40152 and 40157 = LCM of 40157 and 40152

Related Least Common Multiples of 40152

Related Least Common Multiples of 40157

Frequently Asked Questions on LCM of 40152 and 40157

1. What is the LCM of 40152 and 40157?

Answer: LCM of 40152 and 40157 is 1612383864.

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 40157?

Answer: Factors of 40157 are 1, 13, 3089, 40157. There are 4 integers that are factors of 40157. The greatest factor of 40157 is 40157.

4. How to Find the LCM of 40152 and 40157?

Answer:

Least Common Multiple of 40152 and 40157 = 1612383864

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 40157

40157 = 13 x 3089

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

LCM = 1612383864 = 2 x 2 x 2 x 3 x 7 x 13 x 239 x 3089

Step 4: Therefore, the least common multiple of 40152 and 40157 is 1612383864.