What is the Least Common Multiple of 94827 and 94835?
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 94827 and 94835 is 8992918545.
LCM(94827,94835) = 8992918545
Least Common Multiple of 94827 and 94835 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 94827 and 94835, than apply into the LCM equation.
GCF(94827,94835) = 1
LCM(94827,94835) = ( 94827 × 94835) / 1
LCM(94827,94835) = 8992918545 / 1
LCM(94827,94835) = 8992918545
Least Common Multiple (LCM) of 94827 and 94835 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 94827 and 94835. First we will calculate the prime factors of 94827 and 94835.
Prime Factorization of 94827
Prime factors of 94827 are 3, 73, 433. Prime factorization of 94827 in exponential form is:
94827 = 31 × 731 × 4331
Prime Factorization of 94835
Prime factors of 94835 are 5, 13, 1459. Prime factorization of 94835 in exponential form is:
94835 = 51 × 131 × 14591
Now multiplying the highest exponent prime factors to calculate the LCM of 94827 and 94835.
LCM(94827,94835) = 31 × 731 × 4331 × 51 × 131 × 14591
LCM(94827,94835) = 8992918545
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