Least Common Multiple of 151 and 159

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 151 and 159 the smallest integer that is 24009 that is divisible by both numbers.

Least Common Multiple (LCM) of 151 and 159 is 24009.

LCM(151,159) = 24009

LCM of 151 and 159

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

LCM of:
and

Least Common Multiple of 151 and 159

LCM of 151 and 159 is 24009

Least common multiple can be found by multiplying the highest exponent prime factors of 151 and 159. First we will calculate the prime factors of 151 and 159.

Prime Factorization of 151


151 151
1

Prime factors of 151 are 151. Prime factorization of 151 in exponential form is:

151 = 1511

Prime Factorization of 159


3 159
53 53
1

Prime factors of 159 are 3,53. Prime factorization of 159 in exponential form is:

159 = 31×531

Now multiplying the highest exponent prime factors to calculate the LCM of 151 and 159.

LCM(151,159) = 31×531×1511
LCM(151,159) = 24009

Factors of 151

List of positive integer factors of 151 that divides 151 without a remainder.

1, 151

Factors of 159

List of positive integer factors of 159 that divides 159 without a remainder.

1, 3, 53, 159

Least Common Multiple of 151 and 159 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 151 and 159, than apply into the LCM equation.

GCF(151,159) = 1
LCM(151,159) = ( 151 × 159) / 1
LCM(151,159) = 24009 / 1
LCM(151,159) = 24009

Properties of LCM 151 and 159

(i) The LCM of 159 and 151 is associative

LCM of 151 and 159 = LCM of 159 and 151

Related Least Common Multiples of 151

Related Least Common Multiples of 159

Frequently Asked Questions on LCM of 151 and 159

1. What is the LCM of 151 and 159?

Answer: LCM of 151 and 159 is 24009.

2. What are the Factors of 151?

Answer: Factors of 151 are 1, 151. There are 2 integers that are factors of 151. The greatest factor of 151 is 151.

3. What are the Factors of 159?

Answer: Factors of 159 are 1, 3, 53, 159. There are 4 integers that are factors of 159. The greatest factor of 159 is 159.

4. How to Find the LCM of 151 and 159?

Answer:

Least Common Multiple of 151 and 159 = 24009

Step 1: Find the prime factorization of 151

151 = 151

Step 2: Find the prime factorization of 159

159 = 3 x 53

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

LCM = 24009 = 3 x 53 x 151

Step 4: Therefore, the least common multiple of 151 and 159 is 24009.