What is the Least Common Multiple of 93760 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 93760 and 93777 is 8792531520.
LCM(93760,93777) = 8792531520
Least Common Multiple of 93760 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 93760 and 93777, than apply into the LCM equation.
GCF(93760,93777) = 1
LCM(93760,93777) = ( 93760 × 93777) / 1
LCM(93760,93777) = 8792531520 / 1
LCM(93760,93777) = 8792531520
Least Common Multiple (LCM) of 93760 and 93777 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 93760 and 93777. First we will calculate the prime factors of 93760 and 93777.
Prime Factorization of 93760
Prime factors of 93760 are 2, 5, 293. Prime factorization of 93760 in exponential form is:
93760 = 26 × 51 × 2931
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 93760 and 93777.
LCM(93760,93777) = 26 × 51 × 2931 × 31 × 312591
LCM(93760,93777) = 8792531520
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