Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 626 and 630 the smallest integer that is 197190 that is divisible by both numbers.
Least Common Multiple (LCM) of 626 and 630 is 197190.
LCM(626,630) = 197190
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 626 and 630. First we will calculate the prime factors of 626 and 630.
Prime Factorization of 626
2 | 626 |
313 | 313 |
1 |
Prime factors of 626 are 2,313. Prime factorization of 626 in exponential form is:
626 = 21×3131
Prime Factorization of 630
2 | 630 |
3 | 315 |
3 | 105 |
5 | 35 |
7 | 7 |
1 |
Prime factors of 630 are 2, 3, 5,7. Prime factorization of 630 in exponential form is:
630 = 21×32×51×71
Now multiplying the highest exponent prime factors to calculate the LCM of 626 and 630.
LCM(626,630) = 21×32×51×71×3131
LCM(626,630) = 197190
Factors of 626
List of positive integer factors of 626 that divides 626 without a remainder.
1, 2, 313, 626
Factors of 630
List of positive integer factors of 630 that divides 630 without a remainder.
1, 2, 3, 5, 6, 7, 9, 10, 14, 15, 18, 21, 30, 35, 42, 45, 63, 70, 90, 105, 126, 210, 315, 630
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 626 and 630, than apply into the LCM equation.
GCF(626,630) = 2
LCM(626,630) = ( 626 × 630) / 2
LCM(626,630) = 394380 / 2
LCM(626,630) = 197190
(i) The LCM of 630 and 626 is associative
LCM of 626 and 630 = LCM of 630 and 626
1. What is the LCM of 626 and 630?
Answer: LCM of 626 and 630 is 197190.
2. What are the Factors of 626?
Answer: Factors of 626 are 1, 2, 313, 626. There are 4 integers that are factors of 626. The greatest factor of 626 is 626.
3. What are the Factors of 630?
Answer: Factors of 630 are 1, 2, 3, 5, 6, 7, 9, 10, 14, 15, 18, 21, 30, 35, 42, 45, 63, 70, 90, 105, 126, 210, 315, 630. There are 24 integers that are factors of 630. The greatest factor of 630 is 630.
4. How to Find the LCM of 626 and 630?
Answer:
Least Common Multiple of 626 and 630 = 197190
Step 1: Find the prime factorization of 626
626 = 2 x 313
Step 2: Find the prime factorization of 630
630 = 2 x 3 x 3 x 5 x 7
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 197190 = 2 x 3 x 3 x 5 x 7 x 313
Step 4: Therefore, the least common multiple of 626 and 630 is 197190.