What is the Least Common Multiple of 80917 and 80933?
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 80917 and 80933 is 6548855561.
LCM(80917,80933) = 6548855561
Least Common Multiple of 80917 and 80933 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 80917 and 80933, than apply into the LCM equation.
GCF(80917,80933) = 1
LCM(80917,80933) = ( 80917 × 80933) / 1
LCM(80917,80933) = 6548855561 / 1
LCM(80917,80933) = 6548855561
Least Common Multiple (LCM) of 80917 and 80933 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 80917 and 80933. First we will calculate the prime factors of 80917 and 80933.
Prime Factorization of 80917
Prime factors of 80917 are 80917. Prime factorization of 80917 in exponential form is:
80917 = 809171
Prime Factorization of 80933
Prime factors of 80933 are 80933. Prime factorization of 80933 in exponential form is:
80933 = 809331
Now multiplying the highest exponent prime factors to calculate the LCM of 80917 and 80933.
LCM(80917,80933) = 809171 × 809331
LCM(80917,80933) = 6548855561
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