What is the Least Common Multiple of 765 and 781?
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 781 is 597465.
LCM(765,781) = 597465
Least Common Multiple of 765 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 765 and 781, than apply into the LCM equation.
GCF(765,781) = 1
LCM(765,781) = ( 765 × 781) / 1
LCM(765,781) = 597465 / 1
LCM(765,781) = 597465
Least Common Multiple (LCM) of 765 and 781 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 765 and 781. First we will calculate the prime factors of 765 and 781.
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 781
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 765 and 781.
LCM(765,781) = 32 × 51 × 171 × 111 × 711
LCM(765,781) = 597465
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 781
- LCM of 781 and 785
- LCM of 781 and 786
- LCM of 781 and 787
- LCM of 781 and 788
- LCM of 781 and 789
- LCM of 781 and 790
- LCM of 781 and 791
- LCM of 781 and 792
- LCM of 781 and 793
- LCM of 781 and 794
- LCM of 781 and 795
- LCM of 781 and 796
- LCM of 781 and 797
- LCM of 781 and 798
- LCM of 781 and 799
- LCM of 781 and 800
- LCM of 781 and 801