What is the Least Common Multiple of 93827 and 93831?
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 93831 is 8803881237.
LCM(93827,93831) = 8803881237
Least Common Multiple of 93827 and 93831 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 93831, than apply into the LCM equation.
GCF(93827,93831) = 1
LCM(93827,93831) = ( 93827 × 93831) / 1
LCM(93827,93831) = 8803881237 / 1
LCM(93827,93831) = 8803881237
Least Common Multiple (LCM) of 93827 and 93831 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 93827 and 93831. First we will calculate the prime factors of 93827 and 93831.
Prime Factorization of 93827
Prime factors of 93827 are 93827. Prime factorization of 93827 in exponential form is:
93827 = 938271
Prime Factorization of 93831
Prime factors of 93831 are 3, 31277. Prime factorization of 93831 in exponential form is:
93831 = 31 × 312771
Now multiplying the highest exponent prime factors to calculate the LCM of 93827 and 93831.
LCM(93827,93831) = 938271 × 31 × 312771
LCM(93827,93831) = 8803881237
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