Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 194 and 202 the smallest integer that is 19594 that is divisible by both numbers.
Least Common Multiple (LCM) of 194 and 202 is 19594.
LCM(194,202) = 19594
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 194 and 202. First we will calculate the prime factors of 194 and 202.
Prime Factorization of 194
2 | 194 |
97 | 97 |
1 |
Prime factors of 194 are 2,97. Prime factorization of 194 in exponential form is:
194 = 21×971
Prime Factorization of 202
2 | 202 |
101 | 101 |
1 |
Prime factors of 202 are 2,101. Prime factorization of 202 in exponential form is:
202 = 21×1011
Now multiplying the highest exponent prime factors to calculate the LCM of 194 and 202.
LCM(194,202) = 21×971×1011
LCM(194,202) = 19594
Factors of 194
List of positive integer factors of 194 that divides 194 without a remainder.
1, 2, 97, 194
Factors of 202
List of positive integer factors of 202 that divides 202 without a remainder.
1, 2, 101, 202
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 194 and 202, than apply into the LCM equation.
GCF(194,202) = 2
LCM(194,202) = ( 194 × 202) / 2
LCM(194,202) = 39188 / 2
LCM(194,202) = 19594
(i) The LCM of 202 and 194 is associative
LCM of 194 and 202 = LCM of 202 and 194
1. What is the LCM of 194 and 202?
Answer: LCM of 194 and 202 is 19594.
2. What are the Factors of 194?
Answer: Factors of 194 are 1, 2, 97, 194. There are 4 integers that are factors of 194. The greatest factor of 194 is 194.
3. What are the Factors of 202?
Answer: Factors of 202 are 1, 2, 101, 202. There are 4 integers that are factors of 202. The greatest factor of 202 is 202.
4. How to Find the LCM of 194 and 202?
Answer:
Least Common Multiple of 194 and 202 = 19594
Step 1: Find the prime factorization of 194
194 = 2 x 97
Step 2: Find the prime factorization of 202
202 = 2 x 101
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 19594 = 2 x 97 x 101
Step 4: Therefore, the least common multiple of 194 and 202 is 19594.