What is the Least Common Multiple of 93865 and 93869?
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 93865 and 93869 is 8811013685.
LCM(93865,93869) = 8811013685
Least Common Multiple of 93865 and 93869 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 93865 and 93869, than apply into the LCM equation.
GCF(93865,93869) = 1
LCM(93865,93869) = ( 93865 × 93869) / 1
LCM(93865,93869) = 8811013685 / 1
LCM(93865,93869) = 8811013685
Least Common Multiple (LCM) of 93865 and 93869 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 93865 and 93869. First we will calculate the prime factors of 93865 and 93869.
Prime Factorization of 93865
Prime factors of 93865 are 5, 18773. Prime factorization of 93865 in exponential form is:
93865 = 51 × 187731
Prime Factorization of 93869
Prime factors of 93869 are 37, 43, 59. Prime factorization of 93869 in exponential form is:
93869 = 371 × 431 × 591
Now multiplying the highest exponent prime factors to calculate the LCM of 93865 and 93869.
LCM(93865,93869) = 51 × 187731 × 371 × 431 × 591
LCM(93865,93869) = 8811013685
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