Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 88 and 60 the smallest integer that is 1320 that is divisible by both numbers.
Least Common Multiple (LCM) of 88 and 60 is 1320.
LCM(88,60) = 1320
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 88 and 60. First we will calculate the prime factors of 88 and 60.
Prime Factorization of 88
2 | 88 |
2 | 44 |
2 | 22 |
11 | 11 |
1 |
Prime factors of 88 are 2,11. Prime factorization of 88 in exponential form is:
88 = 23×111
Prime Factorization of 60
2 | 60 |
2 | 30 |
3 | 15 |
5 | 5 |
1 |
Prime factors of 60 are 2, 3,5. Prime factorization of 60 in exponential form is:
60 = 22×31×51
Now multiplying the highest exponent prime factors to calculate the LCM of 88 and 60.
LCM(88,60) = 23×31×51×111
LCM(88,60) = 1320
Factors of 88
List of positive integer factors of 88 that divides 88 without a remainder.
1, 2, 4, 8, 11, 22, 44, 88
Factors of 60
List of positive integer factors of 60 that divides 60 without a remainder.
1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 30, 60
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 88 and 60, than apply into the LCM equation.
GCF(88,60) = 4
LCM(88,60) = ( 88 × 60) / 4
LCM(88,60) = 5280 / 4
LCM(88,60) = 1320
(i) The LCM of 60 and 88 is associative
LCM of 88 and 60 = LCM of 60 and 88
1. What is the LCM of 88 and 60?
Answer: LCM of 88 and 60 is 1320.
2. What are the Factors of 88?
Answer: Factors of 88 are 1, 2, 4, 8, 11, 22, 44, 88. There are 8 integers that are factors of 88. The greatest factor of 88 is 88.
3. What are the Factors of 60?
Answer: Factors of 60 are 1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 30, 60. There are 12 integers that are factors of 60. The greatest factor of 60 is 60.
4. How to Find the LCM of 88 and 60?
Answer:
Least Common Multiple of 88 and 60 = 1320
Step 1: Find the prime factorization of 88
88 = 2 x 2 x 2 x 11
Step 2: Find the prime factorization of 60
60 = 2 x 2 x 3 x 5
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 1320 = 2 x 2 x 2 x 3 x 5 x 11
Step 4: Therefore, the least common multiple of 88 and 60 is 1320.