What is the Least Common Multiple of 93557 and 93561?
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 93557 and 93561 is 8753286477.
LCM(93557,93561) = 8753286477
Least Common Multiple of 93557 and 93561 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 93557 and 93561, than apply into the LCM equation.
GCF(93557,93561) = 1
LCM(93557,93561) = ( 93557 × 93561) / 1
LCM(93557,93561) = 8753286477 / 1
LCM(93557,93561) = 8753286477
Least Common Multiple (LCM) of 93557 and 93561 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 93557 and 93561. First we will calculate the prime factors of 93557 and 93561.
Prime Factorization of 93557
Prime factors of 93557 are 93557. Prime factorization of 93557 in exponential form is:
93557 = 935571
Prime Factorization of 93561
Prime factors of 93561 are 3, 13, 2399. Prime factorization of 93561 in exponential form is:
93561 = 31 × 131 × 23991
Now multiplying the highest exponent prime factors to calculate the LCM of 93557 and 93561.
LCM(93557,93561) = 935571 × 31 × 131 × 23991
LCM(93557,93561) = 8753286477
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