Least Common Multiple of 148 and 156

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 156 the smallest integer that is 5772 that is divisible by both numbers.

Least Common Multiple (LCM) of 148 and 156 is 5772.

LCM(148,156) = 5772

LCM of 148 and 156

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

LCM of:
and

Least Common Multiple of 148 and 156

LCM of 148 and 156 is 5772

Least common multiple can be found by multiplying the highest exponent prime factors of 148 and 156. First we will calculate the prime factors of 148 and 156.

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 156


2 156
2 78
3 39
13 13
1

Prime factors of 156 are 2, 3,13. Prime factorization of 156 in exponential form is:

156 = 22×31×131

Now multiplying the highest exponent prime factors to calculate the LCM of 148 and 156.

LCM(148,156) = 22×31×131×371
LCM(148,156) = 5772

Factors of 148

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

1, 2, 4, 37, 74, 148

Factors of 156

List of positive integer factors of 156 that divides 156 without a remainder.

1, 2, 3, 4, 6, 12, 13, 26, 39, 52, 78, 156

Least Common Multiple of 148 and 156 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 156, than apply into the LCM equation.

GCF(148,156) = 4
LCM(148,156) = ( 148 × 156) / 4
LCM(148,156) = 23088 / 4
LCM(148,156) = 5772

Properties of LCM 148 and 156

(i) The LCM of 156 and 148 is associative

LCM of 148 and 156 = LCM of 156 and 148

Related Least Common Multiples of 148

Related Least Common Multiples of 156

Frequently Asked Questions on LCM of 148 and 156

1. What is the LCM of 148 and 156?

Answer: LCM of 148 and 156 is 5772.

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 156?

Answer: Factors of 156 are 1, 2, 3, 4, 6, 12, 13, 26, 39, 52, 78, 156. There are 12 integers that are factors of 156. The greatest factor of 156 is 156.

4. How to Find the LCM of 148 and 156?

Answer:

Least Common Multiple of 148 and 156 = 5772

Step 1: Find the prime factorization of 148

148 = 2 x 2 x 37

Step 2: Find the prime factorization of 156

156 = 2 x 2 x 3 x 13

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

LCM = 5772 = 2 x 2 x 3 x 13 x 37

Step 4: Therefore, the least common multiple of 148 and 156 is 5772.