Least Common Multiple of 148 and 155

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 148 and 155 the smallest integer that is 22940 that is divisible by both numbers.

Least Common Multiple (LCM) of 148 and 155 is 22940.

LCM(148,155) = 22940

LCM of 148 and 155

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

LCM of:
and

Least Common Multiple of 148 and 155

LCM of 148 and 155 is 22940

Least common multiple can be found by multiplying the highest exponent prime factors of 148 and 155. First we will calculate the prime factors of 148 and 155.

Prime Factorization of 148


2 148
2 74
37 37
1

Prime factors of 148 are 2,37. Prime factorization of 148 in exponential form is:

148 = 22×371

Prime Factorization of 155


5 155
31 31
1

Prime factors of 155 are 5,31. Prime factorization of 155 in exponential form is:

155 = 51×311

Now multiplying the highest exponent prime factors to calculate the LCM of 148 and 155.

LCM(148,155) = 22×51×311×371
LCM(148,155) = 22940

Factors of 148

List of positive integer factors of 148 that divides 148 without a remainder.

1, 2, 4, 37, 74, 148

Factors of 155

List of positive integer factors of 155 that divides 155 without a remainder.

1, 5, 31, 155

Least Common Multiple of 148 and 155 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 148 and 155, than apply into the LCM equation.

GCF(148,155) = 1
LCM(148,155) = ( 148 × 155) / 1
LCM(148,155) = 22940 / 1
LCM(148,155) = 22940

Properties of LCM 148 and 155

(i) The LCM of 155 and 148 is associative

LCM of 148 and 155 = LCM of 155 and 148

Related Least Common Multiples of 148

Related Least Common Multiples of 155

Frequently Asked Questions on LCM of 148 and 155

1. What is the LCM of 148 and 155?

Answer: LCM of 148 and 155 is 22940.

2. What are the Factors of 148?

Answer: Factors of 148 are 1, 2, 4, 37, 74, 148. There are 6 integers that are factors of 148. The greatest factor of 148 is 148.

3. What are the Factors of 155?

Answer: Factors of 155 are 1, 5, 31, 155. There are 4 integers that are factors of 155. The greatest factor of 155 is 155.

4. How to Find the LCM of 148 and 155?

Answer:

Least Common Multiple of 148 and 155 = 22940

Step 1: Find the prime factorization of 148

148 = 2 x 2 x 37

Step 2: Find the prime factorization of 155

155 = 5 x 31

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

LCM = 22940 = 2 x 2 x 5 x 31 x 37

Step 4: Therefore, the least common multiple of 148 and 155 is 22940.