What is the Least Common Multiple of 93827 and 93845?
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 93827 and 93845 is 8805194815.
LCM(93827,93845) = 8805194815
Least Common Multiple of 93827 and 93845 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 93827 and 93845, than apply into the LCM equation.
GCF(93827,93845) = 1
LCM(93827,93845) = ( 93827 × 93845) / 1
LCM(93827,93845) = 8805194815 / 1
LCM(93827,93845) = 8805194815
Least Common Multiple (LCM) of 93827 and 93845 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 93827 and 93845. First we will calculate the prime factors of 93827 and 93845.
Prime Factorization of 93827
Prime factors of 93827 are 93827. Prime factorization of 93827 in exponential form is:
93827 = 938271
Prime Factorization of 93845
Prime factors of 93845 are 5, 137. Prime factorization of 93845 in exponential form is:
93845 = 51 × 1372
Now multiplying the highest exponent prime factors to calculate the LCM of 93827 and 93845.
LCM(93827,93845) = 938271 × 51 × 1372
LCM(93827,93845) = 8805194815
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