Least Common Multiple of 778 and 781
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 778 and 781 the smallest integer that is 607618 that is divisible by both numbers.
Least Common Multiple (LCM) of 778 and 781 is 607618.
LCM(778,781) = 607618
LCM of 778 and 781
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 778 and 781 by Prime method
- Least Common Multiple of 778 and 781 with GCF Formula
LCM of 778 and 781 is 607618
Least common multiple can be found by multiplying the highest exponent prime factors of 778 and 781. First we will calculate the prime factors of 778 and 781.
Prime Factorization of 778
| 2 | 778 |
| 389 | 389 |
| 1 |
Prime factors of 778 are 2,389. Prime factorization of 778 in exponential form is:
778 = 21×3891
Prime Factorization of 781
| 11 | 781 |
| 71 | 71 |
| 1 |
Prime factors of 781 are 11,71. Prime factorization of 781 in exponential form is:
781 = 111×711
Now multiplying the highest exponent prime factors to calculate the LCM of 778 and 781.
LCM(778,781) = 21×111×711×3891
LCM(778,781) = 607618
Factors of 778
List of positive integer factors of 778 that divides 778 without a remainder.
1, 2, 389, 778
Factors of 781
List of positive integer factors of 781 that divides 781 without a remainder.
1, 11, 71, 781
Least Common Multiple of 778 and 781 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 778 and 781, than apply into the LCM equation.
GCF(778,781) = 1
LCM(778,781) = ( 778 × 781) / 1
LCM(778,781) = 607618 / 1
LCM(778,781) = 607618
Properties of LCM 778 and 781
(i) The LCM of 781 and 778 is associative
LCM of 778 and 781 = LCM of 781 and 778
Related Least Common Multiples of 778
Related Least Common Multiples of 781
Frequently Asked Questions on LCM of 778 and 781
1. What is the LCM of 778 and 781?
Answer: LCM of 778 and 781 is 607618.
2. What are the Factors of 778?
Answer: Factors of 778 are 1, 2, 389, 778. There are 4 integers that are factors of 778. The greatest factor of 778 is 778.
3. What are the Factors of 781?
Answer: Factors of 781 are 1, 11, 71, 781. There are 4 integers that are factors of 781. The greatest factor of 781 is 781.
4. How to Find the LCM of 778 and 781?
Answer:
Least Common Multiple of 778 and 781 = 607618
Step 1: Find the prime factorization of 778
778 = 2 x 389
Step 2: Find the prime factorization of 781
781 = 11 x 71
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 607618 = 2 x 11 x 71 x 389
Step 4: Therefore, the least common multiple of 778 and 781 is 607618.
