Least Common Multiple of 151 and 153

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 153 the smallest integer that is 23103 that is divisible by both numbers.

Least Common Multiple (LCM) of 151 and 153 is 23103.

LCM(151,153) = 23103

LCM of 151 and 153

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

LCM of:
and

Least Common Multiple of 151 and 153

LCM of 151 and 153 is 23103

Least common multiple can be found by multiplying the highest exponent prime factors of 151 and 153. First we will calculate the prime factors of 151 and 153.

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 153


3 153
3 51
17 17
1

Prime factors of 153 are 3,17. Prime factorization of 153 in exponential form is:

153 = 32×171

Now multiplying the highest exponent prime factors to calculate the LCM of 151 and 153.

LCM(151,153) = 32×171×1511
LCM(151,153) = 23103

Factors of 151

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

1, 151

Factors of 153

List of positive integer factors of 153 that divides 153 without a remainder.

1, 3, 9, 17, 51, 153

Least Common Multiple of 151 and 153 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 153, than apply into the LCM equation.

GCF(151,153) = 1
LCM(151,153) = ( 151 × 153) / 1
LCM(151,153) = 23103 / 1
LCM(151,153) = 23103

Properties of LCM 151 and 153

(i) The LCM of 153 and 151 is associative

LCM of 151 and 153 = LCM of 153 and 151

Related Least Common Multiples of 151

Related Least Common Multiples of 153

Frequently Asked Questions on LCM of 151 and 153

1. What is the LCM of 151 and 153?

Answer: LCM of 151 and 153 is 23103.

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 153?

Answer: Factors of 153 are 1, 3, 9, 17, 51, 153. There are 6 integers that are factors of 153. The greatest factor of 153 is 153.

4. How to Find the LCM of 151 and 153?

Answer:

Least Common Multiple of 151 and 153 = 23103

Step 1: Find the prime factorization of 151

151 = 151

Step 2: Find the prime factorization of 153

153 = 3 x 3 x 17

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

LCM = 23103 = 3 x 3 x 17 x 151

Step 4: Therefore, the least common multiple of 151 and 153 is 23103.