Least Common Multiple of 152 and 160

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 152 and 160 the smallest integer that is 3040 that is divisible by both numbers.

Least Common Multiple (LCM) of 152 and 160 is 3040.

LCM(152,160) = 3040

LCM of 152 and 160

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

LCM of:
and

Least Common Multiple of 152 and 160

LCM of 152 and 160 is 3040

Least common multiple can be found by multiplying the highest exponent prime factors of 152 and 160. First we will calculate the prime factors of 152 and 160.

Prime Factorization of 152


2 152
2 76
2 38
19 19
1

Prime factors of 152 are 2,19. Prime factorization of 152 in exponential form is:

152 = 23×191

Prime Factorization of 160


2 160
2 80
2 40
2 20
2 10
5 5
1

Prime factors of 160 are 2,5. Prime factorization of 160 in exponential form is:

160 = 25×51

Now multiplying the highest exponent prime factors to calculate the LCM of 152 and 160.

LCM(152,160) = 25×51×191
LCM(152,160) = 3040

Factors of 152

List of positive integer factors of 152 that divides 152 without a remainder.

1, 2, 4, 8, 19, 38, 76, 152

Factors of 160

List of positive integer factors of 160 that divides 160 without a remainder.

1, 2, 4, 5, 8, 10, 16, 20, 32, 40, 80, 160

Least Common Multiple of 152 and 160 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 152 and 160, than apply into the LCM equation.

GCF(152,160) = 8
LCM(152,160) = ( 152 × 160) / 8
LCM(152,160) = 24320 / 8
LCM(152,160) = 3040

Properties of LCM 152 and 160

(i) The LCM of 160 and 152 is associative

LCM of 152 and 160 = LCM of 160 and 152

Related Least Common Multiples of 152

Related Least Common Multiples of 160

Frequently Asked Questions on LCM of 152 and 160

1. What is the LCM of 152 and 160?

Answer: LCM of 152 and 160 is 3040.

2. What are the Factors of 152?

Answer: Factors of 152 are 1, 2, 4, 8, 19, 38, 76, 152. There are 8 integers that are factors of 152. The greatest factor of 152 is 152.

3. What are the Factors of 160?

Answer: Factors of 160 are 1, 2, 4, 5, 8, 10, 16, 20, 32, 40, 80, 160. There are 12 integers that are factors of 160. The greatest factor of 160 is 160.

4. How to Find the LCM of 152 and 160?

Answer:

Least Common Multiple of 152 and 160 = 3040

Step 1: Find the prime factorization of 152

152 = 2 x 2 x 2 x 19

Step 2: Find the prime factorization of 160

160 = 2 x 2 x 2 x 2 x 2 x 5

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

LCM = 3040 = 2 x 2 x 2 x 2 x 2 x 5 x 19

Step 4: Therefore, the least common multiple of 152 and 160 is 3040.