What is the Least Common Multiple of 67780 and 67793?
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 67780 and 67793 is 4595009540.
LCM(67780,67793) = 4595009540
Least Common Multiple of 67780 and 67793 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 67780 and 67793, than apply into the LCM equation.
GCF(67780,67793) = 1
LCM(67780,67793) = ( 67780 × 67793) / 1
LCM(67780,67793) = 4595009540 / 1
LCM(67780,67793) = 4595009540
Least Common Multiple (LCM) of 67780 and 67793 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 67780 and 67793. First we will calculate the prime factors of 67780 and 67793.
Prime Factorization of 67780
Prime factors of 67780 are 2, 5, 3389. Prime factorization of 67780 in exponential form is:
67780 = 22 × 51 × 33891
Prime Factorization of 67793
Prime factors of 67793 are 11, 6163. Prime factorization of 67793 in exponential form is:
67793 = 111 × 61631
Now multiplying the highest exponent prime factors to calculate the LCM of 67780 and 67793.
LCM(67780,67793) = 22 × 51 × 33891 × 111 × 61631
LCM(67780,67793) = 4595009540
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