What is the Least Common Multiple of 81218 and 81233?
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 81218 and 81233 is 6597581794.
LCM(81218,81233) = 6597581794
Least Common Multiple of 81218 and 81233 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 81218 and 81233, than apply into the LCM equation.
GCF(81218,81233) = 1
LCM(81218,81233) = ( 81218 × 81233) / 1
LCM(81218,81233) = 6597581794 / 1
LCM(81218,81233) = 6597581794
Least Common Multiple (LCM) of 81218 and 81233 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 81218 and 81233. First we will calculate the prime factors of 81218 and 81233.
Prime Factorization of 81218
Prime factors of 81218 are 2, 40609. Prime factorization of 81218 in exponential form is:
81218 = 21 × 406091
Prime Factorization of 81233
Prime factors of 81233 are 81233. Prime factorization of 81233 in exponential form is:
81233 = 812331
Now multiplying the highest exponent prime factors to calculate the LCM of 81218 and 81233.
LCM(81218,81233) = 21 × 406091 × 812331
LCM(81218,81233) = 6597581794
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