What is the Least Common Multiple of 770 and 777?
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 770 and 777 is 85470.
LCM(770,777) = 85470
Least Common Multiple of 770 and 777 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 770 and 777, than apply into the LCM equation.
GCF(770,777) = 7
LCM(770,777) = ( 770 × 777) / 7
LCM(770,777) = 598290 / 7
LCM(770,777) = 85470
Least Common Multiple (LCM) of 770 and 777 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 770 and 777. First we will calculate the prime factors of 770 and 777.
Prime Factorization of 770
Prime factors of 770 are 2, 5, 7, 11. Prime factorization of 770 in exponential form is:
770 = 21 × 51 × 71 × 111
Prime Factorization of 777
Prime factors of 777 are 3, 7, 37. Prime factorization of 777 in exponential form is:
777 = 31 × 71 × 371
Now multiplying the highest exponent prime factors to calculate the LCM of 770 and 777.
LCM(770,777) = 21 × 51 × 71 × 111 × 31 × 371
LCM(770,777) = 85470
Related Least Common Multiples of 770
- LCM of 770 and 774
- LCM of 770 and 775
- LCM of 770 and 776
- LCM of 770 and 777
- LCM of 770 and 778
- LCM of 770 and 779
- LCM of 770 and 780
- LCM of 770 and 781
- LCM of 770 and 782
- LCM of 770 and 783
- LCM of 770 and 784
- LCM of 770 and 785
- LCM of 770 and 786
- LCM of 770 and 787
- LCM of 770 and 788
- LCM of 770 and 789
- LCM of 770 and 790
Related Least Common Multiples of 777
- LCM of 777 and 781
- LCM of 777 and 782
- LCM of 777 and 783
- LCM of 777 and 784
- LCM of 777 and 785
- LCM of 777 and 786
- LCM of 777 and 787
- LCM of 777 and 788
- LCM of 777 and 789
- LCM of 777 and 790
- LCM of 777 and 791
- LCM of 777 and 792
- LCM of 777 and 793
- LCM of 777 and 794
- LCM of 777 and 795
- LCM of 777 and 796
- LCM of 777 and 797