What is the Least Common Multiple of 93811 and 93824?
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 93811 and 93824 is 8801723264.
LCM(93811,93824) = 8801723264
Least Common Multiple of 93811 and 93824 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 93811 and 93824, than apply into the LCM equation.
GCF(93811,93824) = 1
LCM(93811,93824) = ( 93811 × 93824) / 1
LCM(93811,93824) = 8801723264 / 1
LCM(93811,93824) = 8801723264
Least Common Multiple (LCM) of 93811 and 93824 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 93811 and 93824. First we will calculate the prime factors of 93811 and 93824.
Prime Factorization of 93811
Prime factors of 93811 are 93811. Prime factorization of 93811 in exponential form is:
93811 = 938111
Prime Factorization of 93824
Prime factors of 93824 are 2, 733. Prime factorization of 93824 in exponential form is:
93824 = 27 × 7331
Now multiplying the highest exponent prime factors to calculate the LCM of 93811 and 93824.
LCM(93811,93824) = 938111 × 27 × 7331
LCM(93811,93824) = 8801723264
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