What is the Least Common Multiple of 93772 and 93777?
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 93772 and 93777 is 8793656844.
LCM(93772,93777) = 8793656844
Least Common Multiple of 93772 and 93777 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 93772 and 93777, than apply into the LCM equation.
GCF(93772,93777) = 1
LCM(93772,93777) = ( 93772 × 93777) / 1
LCM(93772,93777) = 8793656844 / 1
LCM(93772,93777) = 8793656844
Least Common Multiple (LCM) of 93772 and 93777 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 93772 and 93777. First we will calculate the prime factors of 93772 and 93777.
Prime Factorization of 93772
Prime factors of 93772 are 2, 7, 17, 197. Prime factorization of 93772 in exponential form is:
93772 = 22 × 71 × 171 × 1971
Prime Factorization of 93777
Prime factors of 93777 are 3, 31259. Prime factorization of 93777 in exponential form is:
93777 = 31 × 312591
Now multiplying the highest exponent prime factors to calculate the LCM of 93772 and 93777.
LCM(93772,93777) = 22 × 71 × 171 × 1971 × 31 × 312591
LCM(93772,93777) = 8793656844
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