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 152 the smallest integer that is 22952 that is divisible by both numbers.
Least Common Multiple (LCM) of 151 and 152 is 22952.
LCM(151,152) = 22952
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
Least common multiple can be found by multiplying the highest exponent prime factors of 151 and 152. First we will calculate the prime factors of 151 and 152.
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 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
Now multiplying the highest exponent prime factors to calculate the LCM of 151 and 152.
LCM(151,152) = 23×191×1511
LCM(151,152) = 22952
Factors of 151
List of positive integer factors of 151 that divides 151 without a remainder.
1, 151
Factors of 152
List of positive integer factors of 152 that divides 152 without a remainder.
1, 2, 4, 8, 19, 38, 76, 152
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 151 and 152, than apply into the LCM equation.
GCF(151,152) = 1
LCM(151,152) = ( 151 × 152) / 1
LCM(151,152) = 22952 / 1
LCM(151,152) = 22952
(i) The LCM of 152 and 151 is associative
LCM of 151 and 152 = LCM of 152 and 151
1. What is the LCM of 151 and 152?
Answer: LCM of 151 and 152 is 22952.
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 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.
4. How to Find the LCM of 151 and 152?
Answer:
Least Common Multiple of 151 and 152 = 22952
Step 1: Find the prime factorization of 151
151 = 151
Step 2: Find the prime factorization of 152
152 = 2 x 2 x 2 x 19
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 22952 = 2 x 2 x 2 x 19 x 151
Step 4: Therefore, the least common multiple of 151 and 152 is 22952.