What is the Least Common Multiple of 68813 and 68818?
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 68813 and 68818 is 4735573034.
LCM(68813,68818) = 4735573034
Least Common Multiple of 68813 and 68818 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 68813 and 68818, than apply into the LCM equation.
GCF(68813,68818) = 1
LCM(68813,68818) = ( 68813 × 68818) / 1
LCM(68813,68818) = 4735573034 / 1
LCM(68813,68818) = 4735573034
Least Common Multiple (LCM) of 68813 and 68818 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 68813 and 68818. First we will calculate the prime factors of 68813 and 68818.
Prime Factorization of 68813
Prime factors of 68813 are 68813. Prime factorization of 68813 in exponential form is:
68813 = 688131
Prime Factorization of 68818
Prime factors of 68818 are 2, 19, 1811. Prime factorization of 68818 in exponential form is:
68818 = 21 × 191 × 18111
Now multiplying the highest exponent prime factors to calculate the LCM of 68813 and 68818.
LCM(68813,68818) = 688131 × 21 × 191 × 18111
LCM(68813,68818) = 4735573034
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