What is the Least Common Multiple of 765 and 778?
Least common multiple or lowest common denominator (lcd) can be calculated in two way; with the LCM formula calculation of greatest common factor (GCF), or multiplying the prime factors with the highest exponent factor.
Least common multiple (LCM) of 765 and 778 is 595170.
LCM(765,778) = 595170
Least Common Multiple of 765 and 778 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 765 and 778, than apply into the LCM equation.
GCF(765,778) = 1
LCM(765,778) = ( 765 × 778) / 1
LCM(765,778) = 595170 / 1
LCM(765,778) = 595170
Least Common Multiple (LCM) of 765 and 778 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 765 and 778. First we will calculate the prime factors of 765 and 778.
Prime Factorization of 765
Prime factors of 765 are 3, 5, 17. Prime factorization of 765 in exponential form is:
765 = 32 × 51 × 171
Prime Factorization of 778
Prime factors of 778 are 2, 389. Prime factorization of 778 in exponential form is:
778 = 21 × 3891
Now multiplying the highest exponent prime factors to calculate the LCM of 765 and 778.
LCM(765,778) = 32 × 51 × 171 × 21 × 3891
LCM(765,778) = 595170
Related Least Common Multiples of 765
- LCM of 765 and 769
- LCM of 765 and 770
- LCM of 765 and 771
- LCM of 765 and 772
- LCM of 765 and 773
- LCM of 765 and 774
- LCM of 765 and 775
- LCM of 765 and 776
- LCM of 765 and 777
- LCM of 765 and 778
- LCM of 765 and 779
- LCM of 765 and 780
- LCM of 765 and 781
- LCM of 765 and 782
- LCM of 765 and 783
- LCM of 765 and 784
- LCM of 765 and 785
Related Least Common Multiples of 778
- LCM of 778 and 782
- LCM of 778 and 783
- LCM of 778 and 784
- LCM of 778 and 785
- LCM of 778 and 786
- LCM of 778 and 787
- LCM of 778 and 788
- LCM of 778 and 789
- LCM of 778 and 790
- LCM of 778 and 791
- LCM of 778 and 792
- LCM of 778 and 793
- LCM of 778 and 794
- LCM of 778 and 795
- LCM of 778 and 796
- LCM of 778 and 797
- LCM of 778 and 798