What is the Least Common Multiple of 93593 and 93609?
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 93593 and 93609 is 8761147137.
LCM(93593,93609) = 8761147137
Least Common Multiple of 93593 and 93609 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 93593 and 93609, than apply into the LCM equation.
GCF(93593,93609) = 1
LCM(93593,93609) = ( 93593 × 93609) / 1
LCM(93593,93609) = 8761147137 / 1
LCM(93593,93609) = 8761147137
Least Common Multiple (LCM) of 93593 and 93609 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 93593 and 93609. First we will calculate the prime factors of 93593 and 93609.
Prime Factorization of 93593
Prime factors of 93593 are 173, 541. Prime factorization of 93593 in exponential form is:
93593 = 1731 × 5411
Prime Factorization of 93609
Prime factors of 93609 are 3, 3467. Prime factorization of 93609 in exponential form is:
93609 = 33 × 34671
Now multiplying the highest exponent prime factors to calculate the LCM of 93593 and 93609.
LCM(93593,93609) = 1731 × 5411 × 33 × 34671
LCM(93593,93609) = 8761147137
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