What is the Least Common Multiple of 93813 and 93818?
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 93813 and 93818 is 8801348034.
LCM(93813,93818) = 8801348034
Least Common Multiple of 93813 and 93818 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 93813 and 93818, than apply into the LCM equation.
GCF(93813,93818) = 1
LCM(93813,93818) = ( 93813 × 93818) / 1
LCM(93813,93818) = 8801348034 / 1
LCM(93813,93818) = 8801348034
Least Common Multiple (LCM) of 93813 and 93818 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 93813 and 93818. First we will calculate the prime factors of 93813 and 93818.
Prime Factorization of 93813
Prime factors of 93813 are 3, 31271. Prime factorization of 93813 in exponential form is:
93813 = 31 × 312711
Prime Factorization of 93818
Prime factors of 93818 are 2, 61, 769. Prime factorization of 93818 in exponential form is:
93818 = 21 × 611 × 7691
Now multiplying the highest exponent prime factors to calculate the LCM of 93813 and 93818.
LCM(93813,93818) = 31 × 312711 × 21 × 611 × 7691
LCM(93813,93818) = 8801348034
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