What is the Least Common Multiple of 93818 and 93823?
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 93818 and 93823 is 8802286214.
LCM(93818,93823) = 8802286214
Least Common Multiple of 93818 and 93823 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 93818 and 93823, than apply into the LCM equation.
GCF(93818,93823) = 1
LCM(93818,93823) = ( 93818 × 93823) / 1
LCM(93818,93823) = 8802286214 / 1
LCM(93818,93823) = 8802286214
Least Common Multiple (LCM) of 93818 and 93823 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 93818 and 93823. First we will calculate the prime factors of 93818 and 93823.
Prime Factorization of 93818
Prime factors of 93818 are 2, 61, 769. Prime factorization of 93818 in exponential form is:
93818 = 21 × 611 × 7691
Prime Factorization of 93823
Prime factors of 93823 are 17, 5519. Prime factorization of 93823 in exponential form is:
93823 = 171 × 55191
Now multiplying the highest exponent prime factors to calculate the LCM of 93818 and 93823.
LCM(93818,93823) = 21 × 611 × 7691 × 171 × 55191
LCM(93818,93823) = 8802286214
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