What is the Least Common Multiple of 93546 and 93557?
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 93546 and 93557 is 8751883122.
LCM(93546,93557) = 8751883122
Least Common Multiple of 93546 and 93557 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 93546 and 93557, than apply into the LCM equation.
GCF(93546,93557) = 1
LCM(93546,93557) = ( 93546 × 93557) / 1
LCM(93546,93557) = 8751883122 / 1
LCM(93546,93557) = 8751883122
Least Common Multiple (LCM) of 93546 and 93557 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 93546 and 93557. First we will calculate the prime factors of 93546 and 93557.
Prime Factorization of 93546
Prime factors of 93546 are 2, 3, 5197. Prime factorization of 93546 in exponential form is:
93546 = 21 × 32 × 51971
Prime Factorization of 93557
Prime factors of 93557 are 93557. Prime factorization of 93557 in exponential form is:
93557 = 935571
Now multiplying the highest exponent prime factors to calculate the LCM of 93546 and 93557.
LCM(93546,93557) = 21 × 32 × 51971 × 935571
LCM(93546,93557) = 8751883122
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