What is the Least Common Multiple of 92763 and 92780?
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 92763 and 92780 is 8606551140.
LCM(92763,92780) = 8606551140
Least Common Multiple of 92763 and 92780 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 92763 and 92780, than apply into the LCM equation.
GCF(92763,92780) = 1
LCM(92763,92780) = ( 92763 × 92780) / 1
LCM(92763,92780) = 8606551140 / 1
LCM(92763,92780) = 8606551140
Least Common Multiple (LCM) of 92763 and 92780 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 92763 and 92780. First we will calculate the prime factors of 92763 and 92780.
Prime Factorization of 92763
Prime factors of 92763 are 3, 11, 937. Prime factorization of 92763 in exponential form is:
92763 = 32 × 111 × 9371
Prime Factorization of 92780
Prime factors of 92780 are 2, 5, 4639. Prime factorization of 92780 in exponential form is:
92780 = 22 × 51 × 46391
Now multiplying the highest exponent prime factors to calculate the LCM of 92763 and 92780.
LCM(92763,92780) = 32 × 111 × 9371 × 22 × 51 × 46391
LCM(92763,92780) = 8606551140
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