What is the Least Common Multiple of 78773 and 78793?
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 78773 and 78793 is 6206760989.
LCM(78773,78793) = 6206760989
Least Common Multiple of 78773 and 78793 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 78773 and 78793, than apply into the LCM equation.
GCF(78773,78793) = 1
LCM(78773,78793) = ( 78773 × 78793) / 1
LCM(78773,78793) = 6206760989 / 1
LCM(78773,78793) = 6206760989
Least Common Multiple (LCM) of 78773 and 78793 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 78773 and 78793. First we will calculate the prime factors of 78773 and 78793.
Prime Factorization of 78773
Prime factors of 78773 are 37, 2129. Prime factorization of 78773 in exponential form is:
78773 = 371 × 21291
Prime Factorization of 78793
Prime factors of 78793 are 11, 13, 19, 29. Prime factorization of 78793 in exponential form is:
78793 = 111 × 131 × 191 × 291
Now multiplying the highest exponent prime factors to calculate the LCM of 78773 and 78793.
LCM(78773,78793) = 371 × 21291 × 111 × 131 × 191 × 291
LCM(78773,78793) = 6206760989
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