What is the Least Common Multiple of 93580 and 93591?
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 93580 and 93591 is 8758245780.
LCM(93580,93591) = 8758245780
Least Common Multiple of 93580 and 93591 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 93580 and 93591, than apply into the LCM equation.
GCF(93580,93591) = 1
LCM(93580,93591) = ( 93580 × 93591) / 1
LCM(93580,93591) = 8758245780 / 1
LCM(93580,93591) = 8758245780
Least Common Multiple (LCM) of 93580 and 93591 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 93580 and 93591. First we will calculate the prime factors of 93580 and 93591.
Prime Factorization of 93580
Prime factors of 93580 are 2, 5, 4679. Prime factorization of 93580 in exponential form is:
93580 = 22 × 51 × 46791
Prime Factorization of 93591
Prime factors of 93591 are 3, 10399. Prime factorization of 93591 in exponential form is:
93591 = 32 × 103991
Now multiplying the highest exponent prime factors to calculate the LCM of 93580 and 93591.
LCM(93580,93591) = 22 × 51 × 46791 × 32 × 103991
LCM(93580,93591) = 8758245780
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