What is the Least Common Multiple of 768 and 775?
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 768 and 775 is 595200.
LCM(768,775) = 595200
Least Common Multiple of 768 and 775 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 768 and 775, than apply into the LCM equation.
GCF(768,775) = 1
LCM(768,775) = ( 768 × 775) / 1
LCM(768,775) = 595200 / 1
LCM(768,775) = 595200
Least Common Multiple (LCM) of 768 and 775 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 768 and 775. First we will calculate the prime factors of 768 and 775.
Prime Factorization of 768
Prime factors of 768 are 2, 3. Prime factorization of 768 in exponential form is:
768 = 28 × 31
Prime Factorization of 775
Prime factors of 775 are 5, 31. Prime factorization of 775 in exponential form is:
775 = 52 × 311
Now multiplying the highest exponent prime factors to calculate the LCM of 768 and 775.
LCM(768,775) = 28 × 31 × 52 × 311
LCM(768,775) = 595200
Related Least Common Multiples of 768
- LCM of 768 and 772
- LCM of 768 and 773
- LCM of 768 and 774
- LCM of 768 and 775
- LCM of 768 and 776
- LCM of 768 and 777
- LCM of 768 and 778
- LCM of 768 and 779
- LCM of 768 and 780
- LCM of 768 and 781
- LCM of 768 and 782
- LCM of 768 and 783
- LCM of 768 and 784
- LCM of 768 and 785
- LCM of 768 and 786
- LCM of 768 and 787
- LCM of 768 and 788
Related Least Common Multiples of 775
- LCM of 775 and 779
- LCM of 775 and 780
- LCM of 775 and 781
- LCM of 775 and 782
- LCM of 775 and 783
- LCM of 775 and 784
- LCM of 775 and 785
- LCM of 775 and 786
- LCM of 775 and 787
- LCM of 775 and 788
- LCM of 775 and 789
- LCM of 775 and 790
- LCM of 775 and 791
- LCM of 775 and 792
- LCM of 775 and 793
- LCM of 775 and 794
- LCM of 775 and 795